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Finding the Fourth Proportional to 410.20, 615.10 and 247.68

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Solution

The fourth proportional to 410.20, 615.10 and 247.68 is: 371.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.20 : 615.10 = 247.68 : x
  2. Step 2: Convert to fraction form
    410.20/615.10 = 247.68/x
  3. Step 3: Cross multiply
    410.20x = 615.10 × 247.68
  4. Step 4: Simplify right side
    410.20x = 152,347.97
  5. Step 5: Solve for x
    x = 152,347.97/410.20
  6. Step 6: Final answer
    x = 371.40

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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.