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Finding the Fourth Proportional to 692.92, 956.24 and 378.19

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Solution

The fourth proportional to 692.92, 956.24 and 378.19 is: 521.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.92 : 956.24 = 378.19 : x
  2. Step 2: Convert to fraction form
    692.92/956.24 = 378.19/x
  3. Step 3: Cross multiply
    692.92x = 956.24 × 378.19
  4. Step 4: Simplify right side
    692.92x = 361,640.41
  5. Step 5: Solve for x
    x = 361,640.41/692.92
  6. Step 6: Final answer
    x = 521.91

Related Problems

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Half scale
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Double scale
Find fourth proportional to 693.92, 957.62 and 379.19
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.