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Finding the Fourth Proportional to 592.29, 817.50 and 393.15

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Solution

The fourth proportional to 592.29, 817.50 and 393.15 is: 542.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.29 : 817.50 = 393.15 : x
  2. Step 2: Convert to fraction form
    592.29/817.50 = 393.15/x
  3. Step 3: Cross multiply
    592.29x = 817.50 × 393.15
  4. Step 4: Simplify right side
    592.29x = 321,400.13
  5. Step 5: Solve for x
    x = 321,400.13/592.29
  6. Step 6: Final answer
    x = 542.64

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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.