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Finding the Fourth Proportional to 475.31, 714.25 and 444.17

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Solution

The fourth proportional to 475.31, 714.25 and 444.17 is: 667.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.31 : 714.25 = 444.17 : x
  2. Step 2: Convert to fraction form
    475.31/714.25 = 444.17/x
  3. Step 3: Cross multiply
    475.31x = 714.25 × 444.17
  4. Step 4: Simplify right side
    475.31x = 317,246.75
  5. Step 5: Solve for x
    x = 317,246.75/475.31
  6. Step 6: Final answer
    x = 667.46

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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.