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Finding the Fourth Proportional to 414.97, 572.66 and 228.47

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Solution

The fourth proportional to 414.97, 572.66 and 228.47 is: 315.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.97 : 572.66 = 228.47 : x
  2. Step 2: Convert to fraction form
    414.97/572.66 = 228.47/x
  3. Step 3: Cross multiply
    414.97x = 572.66 × 228.47
  4. Step 4: Simplify right side
    414.97x = 130,835.63
  5. Step 5: Solve for x
    x = 130,835.63/414.97
  6. Step 6: Final answer
    x = 315.29

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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.