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Finding the Fourth Proportional to 410.61, 566.72 and 263.24

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Solution

The fourth proportional to 410.61, 566.72 and 263.24 is: 363.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.61 : 566.72 = 263.24 : x
  2. Step 2: Convert to fraction form
    410.61/566.72 = 263.24/x
  3. Step 3: Cross multiply
    410.61x = 566.72 × 263.24
  4. Step 4: Simplify right side
    410.61x = 149,183.37
  5. Step 5: Solve for x
    x = 149,183.37/410.61
  6. Step 6: Final answer
    x = 363.32

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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.