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Finding the Fourth Proportional to 641.79, 961.61 and 397.58

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Solution

The fourth proportional to 641.79, 961.61 and 397.58 is: 595.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.79 : 961.61 = 397.58 : x
  2. Step 2: Convert to fraction form
    641.79/961.61 = 397.58/x
  3. Step 3: Cross multiply
    641.79x = 961.61 × 397.58
  4. Step 4: Simplify right side
    641.79x = 382,310.11
  5. Step 5: Solve for x
    x = 382,310.11/641.79
  6. Step 6: Final answer
    x = 595.69

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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.