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Finding the Fourth Proportional to 410.26, 566.23 and 233.30

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Solution

The fourth proportional to 410.26, 566.23 and 233.30 is: 321.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.26 : 566.23 = 233.30 : x
  2. Step 2: Convert to fraction form
    410.26/566.23 = 233.30/x
  3. Step 3: Cross multiply
    410.26x = 566.23 × 233.30
  4. Step 4: Simplify right side
    410.26x = 132,101.01
  5. Step 5: Solve for x
    x = 132,101.01/410.26
  6. Step 6: Final answer
    x = 321.99

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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.