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Finding the Fourth Proportional to 410.80, 566.58 and 263.47

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Solution

The fourth proportional to 410.80, 566.58 and 263.47 is: 363.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.80 : 566.58 = 263.47 : x
  2. Step 2: Convert to fraction form
    410.80/566.58 = 263.47/x
  3. Step 3: Cross multiply
    410.80x = 566.58 × 263.47
  4. Step 4: Simplify right side
    410.80x = 149,276.83
  5. Step 5: Solve for x
    x = 149,276.83/410.80
  6. Step 6: Final answer
    x = 363.38

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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.