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Finding the Fourth Proportional to 641.12, 961.44 and 505.76

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Solution

The fourth proportional to 641.12, 961.44 and 505.76 is: 758.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.12 : 961.44 = 505.76 : x
  2. Step 2: Convert to fraction form
    641.12/961.44 = 505.76/x
  3. Step 3: Cross multiply
    641.12x = 961.44 × 505.76
  4. Step 4: Simplify right side
    641.12x = 486,257.89
  5. Step 5: Solve for x
    x = 486,257.89/641.12
  6. Step 6: Final answer
    x = 758.45

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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.