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Finding the Fourth Proportional to 515.43, 711.45 and 319.14

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Solution

The fourth proportional to 515.43, 711.45 and 319.14 is: 440.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.43 : 711.45 = 319.14 : x
  2. Step 2: Convert to fraction form
    515.43/711.45 = 319.14/x
  3. Step 3: Cross multiply
    515.43x = 711.45 × 319.14
  4. Step 4: Simplify right side
    515.43x = 227,052.15
  5. Step 5: Solve for x
    x = 227,052.15/515.43
  6. Step 6: Final answer
    x = 440.51

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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.