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Finding the Fourth Proportional to 641.59, 962.13 and 230.60

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Solution

The fourth proportional to 641.59, 962.13 and 230.60 is: 345.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.59 : 962.13 = 230.60 : x
  2. Step 2: Convert to fraction form
    641.59/962.13 = 230.60/x
  3. Step 3: Cross multiply
    641.59x = 962.13 × 230.60
  4. Step 4: Simplify right side
    641.59x = 221,867.18
  5. Step 5: Solve for x
    x = 221,867.18/641.59
  6. Step 6: Final answer
    x = 345.81

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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.