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Finding the Fourth Proportional to 410.40, 614.80 and 247.60

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Solution

The fourth proportional to 410.40, 614.80 and 247.60 is: 370.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.40 : 614.80 = 247.60 : x
  2. Step 2: Convert to fraction form
    410.40/614.80 = 247.60/x
  3. Step 3: Cross multiply
    410.40x = 614.80 × 247.60
  4. Step 4: Simplify right side
    410.40x = 152,224.48
  5. Step 5: Solve for x
    x = 152,224.48/410.40
  6. Step 6: Final answer
    x = 370.92

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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.