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Finding the Fourth Proportional to 593.55, 890.33 and 319.27

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Solution

The fourth proportional to 593.55, 890.33 and 319.27 is: 478.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.55 : 890.33 = 319.27 : x
  2. Step 2: Convert to fraction form
    593.55/890.33 = 319.27/x
  3. Step 3: Cross multiply
    593.55x = 890.33 × 319.27
  4. Step 4: Simplify right side
    593.55x = 284,253.70
  5. Step 5: Solve for x
    x = 284,253.70/593.55
  6. Step 6: Final answer
    x = 478.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.