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Finding the Fourth Proportional to 574.32, 792.57 and 353.14

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Solution

The fourth proportional to 574.32, 792.57 and 353.14 is: 487.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.32 : 792.57 = 353.14 : x
  2. Step 2: Convert to fraction form
    574.32/792.57 = 353.14/x
  3. Step 3: Cross multiply
    574.32x = 792.57 × 353.14
  4. Step 4: Simplify right side
    574.32x = 279,888.17
  5. Step 5: Solve for x
    x = 279,888.17/574.32
  6. Step 6: Final answer
    x = 487.34

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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.