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Finding the Fourth Proportional to 410.64, 566.69 and 244.86

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Solution

The fourth proportional to 410.64, 566.69 and 244.86 is: 337.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.64 : 566.69 = 244.86 : x
  2. Step 2: Convert to fraction form
    410.64/566.69 = 244.86/x
  3. Step 3: Cross multiply
    410.64x = 566.69 × 244.86
  4. Step 4: Simplify right side
    410.64x = 138,759.71
  5. Step 5: Solve for x
    x = 138,759.71/410.64
  6. Step 6: Final answer
    x = 337.91

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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.