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Finding the Fourth Proportional to 410.10, 565.87 and 235.41

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Solution

The fourth proportional to 410.10, 565.87 and 235.41 is: 324.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.10 : 565.87 = 235.41 : x
  2. Step 2: Convert to fraction form
    410.10/565.87 = 235.41/x
  3. Step 3: Cross multiply
    410.10x = 565.87 × 235.41
  4. Step 4: Simplify right side
    410.10x = 133,209.19
  5. Step 5: Solve for x
    x = 133,209.19/410.10
  6. Step 6: Final answer
    x = 324.82

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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.