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Finding the Fourth Proportional to 410.24, 615.84 and 218.24

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Solution

The fourth proportional to 410.24, 615.84 and 218.24 is: 327.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.24 : 615.84 = 218.24 : x
  2. Step 2: Convert to fraction form
    410.24/615.84 = 218.24/x
  3. Step 3: Cross multiply
    410.24x = 615.84 × 218.24
  4. Step 4: Simplify right side
    410.24x = 134,400.92
  5. Step 5: Solve for x
    x = 134,400.92/410.24
  6. Step 6: Final answer
    x = 327.62

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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.