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Finding the Fourth Proportional to 410.29, 566.17 and 233.23

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Solution

The fourth proportional to 410.29, 566.17 and 233.23 is: 321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.29 : 566.17 = 233.23 : x
  2. Step 2: Convert to fraction form
    410.29/566.17 = 233.23/x
  3. Step 3: Cross multiply
    410.29x = 566.17 × 233.23
  4. Step 4: Simplify right side
    410.29x = 132,047.83
  5. Step 5: Solve for x
    x = 132,047.83/410.29
  6. Step 6: Final answer
    x = 321.84

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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.