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Finding the Fourth Proportional to 410.74, 566.56 and 263.32

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Solution

The fourth proportional to 410.74, 566.56 and 263.32 is: 363.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.74 : 566.56 = 263.32 : x
  2. Step 2: Convert to fraction form
    410.74/566.56 = 263.32/x
  3. Step 3: Cross multiply
    410.74x = 566.56 × 263.32
  4. Step 4: Simplify right side
    410.74x = 149,186.58
  5. Step 5: Solve for x
    x = 149,186.58/410.74
  6. Step 6: Final answer
    x = 363.21

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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.