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Finding the Fourth Proportional to 414.83, 572.28 and 240.05

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Solution

The fourth proportional to 414.83, 572.28 and 240.05 is: 331.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.83 : 572.28 = 240.05 : x
  2. Step 2: Convert to fraction form
    414.83/572.28 = 240.05/x
  3. Step 3: Cross multiply
    414.83x = 572.28 × 240.05
  4. Step 4: Simplify right side
    414.83x = 137,375.81
  5. Step 5: Solve for x
    x = 137,375.81/414.83
  6. Step 6: Final answer
    x = 331.16

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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.