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Finding the Fourth Proportional to 641.90, 962.40 and 295.40

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Solution

The fourth proportional to 641.90, 962.40 and 295.40 is: 442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.90 : 962.40 = 295.40 : x
  2. Step 2: Convert to fraction form
    641.90/962.40 = 295.40/x
  3. Step 3: Cross multiply
    641.90x = 962.40 × 295.40
  4. Step 4: Simplify right side
    641.90x = 284,292.96
  5. Step 5: Solve for x
    x = 284,292.96/641.90
  6. Step 6: Final answer
    x = 442.89

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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.