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Finding the Fourth Proportional to 410.88, 566.56 and 263.44

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Solution

The fourth proportional to 410.88, 566.56 and 263.44 is: 363.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.88 : 566.56 = 263.44 : x
  2. Step 2: Convert to fraction form
    410.88/566.56 = 263.44/x
  3. Step 3: Cross multiply
    410.88x = 566.56 × 263.44
  4. Step 4: Simplify right side
    410.88x = 149,254.57
  5. Step 5: Solve for x
    x = 149,254.57/410.88
  6. Step 6: Final answer
    x = 363.26

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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.