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Finding the Fourth Proportional to 517.52, 775.26 and 312.14

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Solution

The fourth proportional to 517.52, 775.26 and 312.14 is: 467.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.52 : 775.26 = 312.14 : x
  2. Step 2: Convert to fraction form
    517.52/775.26 = 312.14/x
  3. Step 3: Cross multiply
    517.52x = 775.26 × 312.14
  4. Step 4: Simplify right side
    517.52x = 241,989.66
  5. Step 5: Solve for x
    x = 241,989.66/517.52
  6. Step 6: Final answer
    x = 467.59

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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.