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Finding the Fourth Proportional to 410.28, 566.24 and 235.66

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Solution

The fourth proportional to 410.28, 566.24 and 235.66 is: 325.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.28 : 566.24 = 235.66 : x
  2. Step 2: Convert to fraction form
    410.28/566.24 = 235.66/x
  3. Step 3: Cross multiply
    410.28x = 566.24 × 235.66
  4. Step 4: Simplify right side
    410.28x = 133,440.12
  5. Step 5: Solve for x
    x = 133,440.12/410.28
  6. Step 6: Final answer
    x = 325.24

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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.