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Finding the Fourth Proportional to 593.91, 886.28 and 521.92

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Solution

The fourth proportional to 593.91, 886.28 and 521.92 is: 778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.91 : 886.28 = 521.92 : x
  2. Step 2: Convert to fraction form
    593.91/886.28 = 521.92/x
  3. Step 3: Cross multiply
    593.91x = 886.28 × 521.92
  4. Step 4: Simplify right side
    593.91x = 462,567.26
  5. Step 5: Solve for x
    x = 462,567.26/593.91
  6. Step 6: Final answer
    x = 778.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.