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Finding the Fourth Proportional to 414.75, 572.34 and 228.24

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Solution

The fourth proportional to 414.75, 572.34 and 228.24 is: 314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.75 : 572.34 = 228.24 : x
  2. Step 2: Convert to fraction form
    414.75/572.34 = 228.24/x
  3. Step 3: Cross multiply
    414.75x = 572.34 × 228.24
  4. Step 4: Simplify right side
    414.75x = 130,630.88
  5. Step 5: Solve for x
    x = 130,630.88/414.75
  6. Step 6: Final answer
    x = 314.96

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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.