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Finding the Fourth Proportional to 593.12, 817.90 and 406.32

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Solution

The fourth proportional to 593.12, 817.90 and 406.32 is: 560.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.12 : 817.90 = 406.32 : x
  2. Step 2: Convert to fraction form
    593.12/817.90 = 406.32/x
  3. Step 3: Cross multiply
    593.12x = 817.90 × 406.32
  4. Step 4: Simplify right side
    593.12x = 332,329.13
  5. Step 5: Solve for x
    x = 332,329.13/593.12
  6. Step 6: Final answer
    x = 560.31

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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.