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Finding the Fourth Proportional to 414.70, 572.32 and 228.18

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Solution

The fourth proportional to 414.70, 572.32 and 228.18 is: 314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.70 : 572.32 = 228.18 : x
  2. Step 2: Convert to fraction form
    414.70/572.32 = 228.18/x
  3. Step 3: Cross multiply
    414.70x = 572.32 × 228.18
  4. Step 4: Simplify right side
    414.70x = 130,593.97
  5. Step 5: Solve for x
    x = 130,593.97/414.70
  6. Step 6: Final answer
    x = 314.91

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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.