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Finding the Fourth Proportional to 574.10, 792.71 and 353.17

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Solution

The fourth proportional to 574.10, 792.71 and 353.17 is: 487.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.10 : 792.71 = 353.17 : x
  2. Step 2: Convert to fraction form
    574.10/792.71 = 353.17/x
  3. Step 3: Cross multiply
    574.10x = 792.71 × 353.17
  4. Step 4: Simplify right side
    574.10x = 279,960.29
  5. Step 5: Solve for x
    x = 279,960.29/574.10
  6. Step 6: Final answer
    x = 487.65

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