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Finding the Fourth Proportional to 414.64, 572.21 and 228.13

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Solution

The fourth proportional to 414.64, 572.21 and 228.13 is: 314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.64 : 572.21 = 228.13 : x
  2. Step 2: Convert to fraction form
    414.64/572.21 = 228.13/x
  3. Step 3: Cross multiply
    414.64x = 572.21 × 228.13
  4. Step 4: Simplify right side
    414.64x = 130,538.27
  5. Step 5: Solve for x
    x = 130,538.27/414.64
  6. Step 6: Final answer
    x = 314.82

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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.