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Finding the Fourth Proportional to 593.65, 819.26 and 331.66

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Solution

The fourth proportional to 593.65, 819.26 and 331.66 is: 457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.65 : 819.26 = 331.66 : x
  2. Step 2: Convert to fraction form
    593.65/819.26 = 331.66/x
  3. Step 3: Cross multiply
    593.65x = 819.26 × 331.66
  4. Step 4: Simplify right side
    593.65x = 271,715.77
  5. Step 5: Solve for x
    x = 271,715.77/593.65
  6. Step 6: Final answer
    x = 457.70

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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.