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Finding the Fourth Proportional to 519.60, 716.92 and 312.56

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Solution

The fourth proportional to 519.60, 716.92 and 312.56 is: 431.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.60 : 716.92 = 312.56 : x
  2. Step 2: Convert to fraction form
    519.60/716.92 = 312.56/x
  3. Step 3: Cross multiply
    519.60x = 716.92 × 312.56
  4. Step 4: Simplify right side
    519.60x = 224,080.52
  5. Step 5: Solve for x
    x = 224,080.52/519.60
  6. Step 6: Final answer
    x = 431.26

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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.