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Finding the Fourth Proportional to 410.47, 566.41 and 244.65

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Solution

The fourth proportional to 410.47, 566.41 and 244.65 is: 337.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.47 : 566.41 = 244.65 : x
  2. Step 2: Convert to fraction form
    410.47/566.41 = 244.65/x
  3. Step 3: Cross multiply
    410.47x = 566.41 × 244.65
  4. Step 4: Simplify right side
    410.47x = 138,572.21
  5. Step 5: Solve for x
    x = 138,572.21/410.47
  6. Step 6: Final answer
    x = 337.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.