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Finding the Fourth Proportional to 410.23, 566.06 and 233.16

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Solution

The fourth proportional to 410.23, 566.06 and 233.16 is: 321.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.23 : 566.06 = 233.16 : x
  2. Step 2: Convert to fraction form
    410.23/566.06 = 233.16/x
  3. Step 3: Cross multiply
    410.23x = 566.06 × 233.16
  4. Step 4: Simplify right side
    410.23x = 131,982.55
  5. Step 5: Solve for x
    x = 131,982.55/410.23
  6. Step 6: Final answer
    x = 321.73

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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.