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Finding the Fourth Proportional to 410.51, 566.55 and 244.76

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Solution

The fourth proportional to 410.51, 566.55 and 244.76 is: 337.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.51 : 566.55 = 244.76 : x
  2. Step 2: Convert to fraction form
    410.51/566.55 = 244.76/x
  3. Step 3: Cross multiply
    410.51x = 566.55 × 244.76
  4. Step 4: Simplify right side
    410.51x = 138,665.95
  5. Step 5: Solve for x
    x = 138,665.95/410.51
  6. Step 6: Final answer
    x = 337.79

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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.