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Finding the Fourth Proportional to 414.84, 572.48 and 228.34

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Solution

The fourth proportional to 414.84, 572.48 and 228.34 is: 315.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.84 : 572.48 = 228.34 : x
  2. Step 2: Convert to fraction form
    414.84/572.48 = 228.34/x
  3. Step 3: Cross multiply
    414.84x = 572.48 × 228.34
  4. Step 4: Simplify right side
    414.84x = 130,720.08
  5. Step 5: Solve for x
    x = 130,720.08/414.84
  6. Step 6: Final answer
    x = 315.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.