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Finding the Fourth Proportional to 692.98, 956.28 and 378.22

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Solution

The fourth proportional to 692.98, 956.28 and 378.22 is: 521.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.98 : 956.28 = 378.22 : x
  2. Step 2: Convert to fraction form
    692.98/956.28 = 378.22/x
  3. Step 3: Cross multiply
    692.98x = 956.28 × 378.22
  4. Step 4: Simplify right side
    692.98x = 361,684.22
  5. Step 5: Solve for x
    x = 361,684.22/692.98
  6. Step 6: Final answer
    x = 521.93

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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.