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Finding the Fourth Proportional to 593.50, 890.44 and 319.78

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Solution

The fourth proportional to 593.50, 890.44 and 319.78 is: 479.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.50 : 890.44 = 319.78 : x
  2. Step 2: Convert to fraction form
    593.50/890.44 = 319.78/x
  3. Step 3: Cross multiply
    593.50x = 890.44 × 319.78
  4. Step 4: Simplify right side
    593.50x = 284,744.90
  5. Step 5: Solve for x
    x = 284,744.90/593.50
  6. Step 6: Final answer
    x = 479.77

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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.