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Finding the Fourth Proportional to 593.91, 820.83 and 521.88

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Solution

The fourth proportional to 593.91, 820.83 and 521.88 is: 721.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.91 : 820.83 = 521.88 : x
  2. Step 2: Convert to fraction form
    593.91/820.83 = 521.88/x
  3. Step 3: Cross multiply
    593.91x = 820.83 × 521.88
  4. Step 4: Simplify right side
    593.91x = 428,374.76
  5. Step 5: Solve for x
    x = 428,374.76/593.91
  6. Step 6: Final answer
    x = 721.28

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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.