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Finding the Fourth Proportional to 591.52, 816.06 and 358.24

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Solution

The fourth proportional to 591.52, 816.06 and 358.24 is: 494.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.52 : 816.06 = 358.24 : x
  2. Step 2: Convert to fraction form
    591.52/816.06 = 358.24/x
  3. Step 3: Cross multiply
    591.52x = 816.06 × 358.24
  4. Step 4: Simplify right side
    591.52x = 292,345.33
  5. Step 5: Solve for x
    x = 292,345.33/591.52
  6. Step 6: Final answer
    x = 494.23

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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.