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Finding the Fourth Proportional to 642.14, 963.50 and 317.46

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Solution

The fourth proportional to 642.14, 963.50 and 317.46 is: 476.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.14 : 963.50 = 317.46 : x
  2. Step 2: Convert to fraction form
    642.14/963.50 = 317.46/x
  3. Step 3: Cross multiply
    642.14x = 963.50 × 317.46
  4. Step 4: Simplify right side
    642.14x = 305,872.71
  5. Step 5: Solve for x
    x = 305,872.71/642.14
  6. Step 6: Final answer
    x = 476.33

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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.