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Finding the Fourth Proportional to 414.67, 572.25 and 228.16

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Solution

The fourth proportional to 414.67, 572.25 and 228.16 is: 314.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.67 : 572.25 = 228.16 : x
  2. Step 2: Convert to fraction form
    414.67/572.25 = 228.16/x
  3. Step 3: Cross multiply
    414.67x = 572.25 × 228.16
  4. Step 4: Simplify right side
    414.67x = 130,562.75
  5. Step 5: Solve for x
    x = 130,562.75/414.67
  6. Step 6: Final answer
    x = 314.86

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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.