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Finding the Fourth Proportional to 414.61, 572.14 and 228.10

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Solution

The fourth proportional to 414.61, 572.14 and 228.10 is: 314.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.61 : 572.14 = 228.10 : x
  2. Step 2: Convert to fraction form
    414.61/572.14 = 228.10/x
  3. Step 3: Cross multiply
    414.61x = 572.14 × 228.10
  4. Step 4: Simplify right side
    414.61x = 130,505.13
  5. Step 5: Solve for x
    x = 130,505.13/414.61
  6. Step 6: Final answer
    x = 314.77

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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.