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Finding the Fourth Proportional to 641.57, 960.99 and 397.35

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Solution

The fourth proportional to 641.57, 960.99 and 397.35 is: 595.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.57 : 960.99 = 397.35 : x
  2. Step 2: Convert to fraction form
    641.57/960.99 = 397.35/x
  3. Step 3: Cross multiply
    641.57x = 960.99 × 397.35
  4. Step 4: Simplify right side
    641.57x = 381,849.38
  5. Step 5: Solve for x
    x = 381,849.38/641.57
  6. Step 6: Final answer
    x = 595.18

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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.