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Finding the Fourth Proportional to 406.56, 560.88 and 251.04

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Solution

The fourth proportional to 406.56, 560.88 and 251.04 is: 346.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.56 : 560.88 = 251.04 : x
  2. Step 2: Convert to fraction form
    406.56/560.88 = 251.04/x
  3. Step 3: Cross multiply
    406.56x = 560.88 × 251.04
  4. Step 4: Simplify right side
    406.56x = 140,803.32
  5. Step 5: Solve for x
    x = 140,803.32/406.56
  6. Step 6: Final answer
    x = 346.33

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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.