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Finding the Fourth Proportional to 410.10, 565.92 and 233.05

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Solution

The fourth proportional to 410.10, 565.92 and 233.05 is: 321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.10 : 565.92 = 233.05 : x
  2. Step 2: Convert to fraction form
    410.10/565.92 = 233.05/x
  3. Step 3: Cross multiply
    410.10x = 565.92 × 233.05
  4. Step 4: Simplify right side
    410.10x = 131,884.83
  5. Step 5: Solve for x
    x = 131,884.83/410.10
  6. Step 6: Final answer
    x = 321.60

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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.