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Finding the Fourth Proportional to 486.43, 732.38 and 429.02

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Solution

The fourth proportional to 486.43, 732.38 and 429.02 is: 645.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.43 : 732.38 = 429.02 : x
  2. Step 2: Convert to fraction form
    486.43/732.38 = 429.02/x
  3. Step 3: Cross multiply
    486.43x = 732.38 × 429.02
  4. Step 4: Simplify right side
    486.43x = 314,202.01
  5. Step 5: Solve for x
    x = 314,202.01/486.43
  6. Step 6: Final answer
    x = 645.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.