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Finding the Fourth Proportional to 641.59, 961.16 and 366.84

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Solution

The fourth proportional to 641.59, 961.16 and 366.84 is: 549.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.59 : 961.16 = 366.84 : x
  2. Step 2: Convert to fraction form
    641.59/961.16 = 366.84/x
  3. Step 3: Cross multiply
    641.59x = 961.16 × 366.84
  4. Step 4: Simplify right side
    641.59x = 352,590.10
  5. Step 5: Solve for x
    x = 352,590.10/641.59
  6. Step 6: Final answer
    x = 549.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.