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Finding the Fourth Proportional to 692.99, 956.27 and 398.20

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Solution

The fourth proportional to 692.99, 956.27 and 398.20 is: 549.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.99 : 956.27 = 398.20 : x
  2. Step 2: Convert to fraction form
    692.99/956.27 = 398.20/x
  3. Step 3: Cross multiply
    692.99x = 956.27 × 398.20
  4. Step 4: Simplify right side
    692.99x = 380,786.71
  5. Step 5: Solve for x
    x = 380,786.71/692.99
  6. Step 6: Final answer
    x = 549.48

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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.