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Finding the Fourth Proportional to 517.80, 714.32 and 318.45

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Solution

The fourth proportional to 517.80, 714.32 and 318.45 is: 439.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.80 : 714.32 = 318.45 : x
  2. Step 2: Convert to fraction form
    517.80/714.32 = 318.45/x
  3. Step 3: Cross multiply
    517.80x = 714.32 × 318.45
  4. Step 4: Simplify right side
    517.80x = 227,475.20
  5. Step 5: Solve for x
    x = 227,475.20/517.80
  6. Step 6: Final answer
    x = 439.31

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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.