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Finding the Fourth Proportional to 463.78, 692.29 and 429.52

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Solution

The fourth proportional to 463.78, 692.29 and 429.52 is: 641.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.78 : 692.29 = 429.52 : x
  2. Step 2: Convert to fraction form
    463.78/692.29 = 429.52/x
  3. Step 3: Cross multiply
    463.78x = 692.29 × 429.52
  4. Step 4: Simplify right side
    463.78x = 297,350.25
  5. Step 5: Solve for x
    x = 297,350.25/463.78
  6. Step 6: Final answer
    x = 641.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.