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Finding the Fourth Proportional to 410.56, 566.72 and 263.20

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Solution

The fourth proportional to 410.56, 566.72 and 263.20 is: 363.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.56 : 566.72 = 263.20 : x
  2. Step 2: Convert to fraction form
    410.56/566.72 = 263.20/x
  3. Step 3: Cross multiply
    410.56x = 566.72 × 263.20
  4. Step 4: Simplify right side
    410.56x = 149,160.70
  5. Step 5: Solve for x
    x = 149,160.70/410.56
  6. Step 6: Final answer
    x = 363.31

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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.