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Finding the Fourth Proportional to 593.41, 819.07 and 344.81

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Solution

The fourth proportional to 593.41, 819.07 and 344.81 is: 475.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.41 : 819.07 = 344.81 : x
  2. Step 2: Convert to fraction form
    593.41/819.07 = 344.81/x
  3. Step 3: Cross multiply
    593.41x = 819.07 × 344.81
  4. Step 4: Simplify right side
    593.41x = 282,423.53
  5. Step 5: Solve for x
    x = 282,423.53/593.41
  6. Step 6: Final answer
    x = 475.93

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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.