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Finding the Fourth Proportional to 642.33, 963.80 and 317.72

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Solution

The fourth proportional to 642.33, 963.80 and 317.72 is: 476.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.33 : 963.80 = 317.72 : x
  2. Step 2: Convert to fraction form
    642.33/963.80 = 317.72/x
  3. Step 3: Cross multiply
    642.33x = 963.80 × 317.72
  4. Step 4: Simplify right side
    642.33x = 306,220.55
  5. Step 5: Solve for x
    x = 306,220.55/642.33
  6. Step 6: Final answer
    x = 476.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.