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Finding the Fourth Proportional to 410.41, 566.42 and 235.79

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Solution

The fourth proportional to 410.41, 566.42 and 235.79 is: 325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.41 : 566.42 = 235.79 : x
  2. Step 2: Convert to fraction form
    410.41/566.42 = 235.79/x
  3. Step 3: Cross multiply
    410.41x = 566.42 × 235.79
  4. Step 4: Simplify right side
    410.41x = 133,552.16
  5. Step 5: Solve for x
    x = 133,552.16/410.41
  6. Step 6: Final answer
    x = 325.41

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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.