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Finding the Fourth Proportional to 410.15, 565.92 and 233.10

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Solution

The fourth proportional to 410.15, 565.92 and 233.10 is: 321.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.15 : 565.92 = 233.10 : x
  2. Step 2: Convert to fraction form
    410.15/565.92 = 233.10/x
  3. Step 3: Cross multiply
    410.15x = 565.92 × 233.10
  4. Step 4: Simplify right side
    410.15x = 131,915.95
  5. Step 5: Solve for x
    x = 131,915.95/410.15
  6. Step 6: Final answer
    x = 321.63

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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.