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Finding the Fourth Proportional to 642.70, 963.24 and 317.98

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Solution

The fourth proportional to 642.70, 963.24 and 317.98 is: 476.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.70 : 963.24 = 317.98 : x
  2. Step 2: Convert to fraction form
    642.70/963.24 = 317.98/x
  3. Step 3: Cross multiply
    642.70x = 963.24 × 317.98
  4. Step 4: Simplify right side
    642.70x = 306,291.06
  5. Step 5: Solve for x
    x = 306,291.06/642.70
  6. Step 6: Final answer
    x = 476.57

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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.