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Finding the Fourth Proportional to 406.59, 560.91 and 238.56

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Solution

The fourth proportional to 406.59, 560.91 and 238.56 is: 329.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.59 : 560.91 = 238.56 : x
  2. Step 2: Convert to fraction form
    406.59/560.91 = 238.56/x
  3. Step 3: Cross multiply
    406.59x = 560.91 × 238.56
  4. Step 4: Simplify right side
    406.59x = 133,810.69
  5. Step 5: Solve for x
    x = 133,810.69/406.59
  6. Step 6: Final answer
    x = 329.10

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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.