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Finding the Fourth Proportional to 591.20, 816.16 and 358.24

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Solution

The fourth proportional to 591.20, 816.16 and 358.24 is: 494.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.20 : 816.16 = 358.24 : x
  2. Step 2: Convert to fraction form
    591.20/816.16 = 358.24/x
  3. Step 3: Cross multiply
    591.20x = 816.16 × 358.24
  4. Step 4: Simplify right side
    591.20x = 292,381.16
  5. Step 5: Solve for x
    x = 292,381.16/591.20
  6. Step 6: Final answer
    x = 494.56

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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.