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Finding the Fourth Proportional to 593.70, 819.13 and 360.90

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Solution

The fourth proportional to 593.70, 819.13 and 360.90 is: 497.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.70 : 819.13 = 360.90 : x
  2. Step 2: Convert to fraction form
    593.70/819.13 = 360.90/x
  3. Step 3: Cross multiply
    593.70x = 819.13 × 360.90
  4. Step 4: Simplify right side
    593.70x = 295,624.02
  5. Step 5: Solve for x
    x = 295,624.02/593.70
  6. Step 6: Final answer
    x = 497.94

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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.