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Finding the Fourth Proportional to 410.91, 566.96 and 261.62

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Solution

The fourth proportional to 410.91, 566.96 and 261.62 is: 360.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.91 : 566.96 = 261.62 : x
  2. Step 2: Convert to fraction form
    410.91/566.96 = 261.62/x
  3. Step 3: Cross multiply
    410.91x = 566.96 × 261.62
  4. Step 4: Simplify right side
    410.91x = 148,323.93
  5. Step 5: Solve for x
    x = 148,323.93/410.91
  6. Step 6: Final answer
    x = 360.96

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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.