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Finding the Fourth Proportional to 385.56, 532.05 and 228.19

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Solution

The fourth proportional to 385.56, 532.05 and 228.19 is: 314.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.56 : 532.05 = 228.19 : x
  2. Step 2: Convert to fraction form
    385.56/532.05 = 228.19/x
  3. Step 3: Cross multiply
    385.56x = 532.05 × 228.19
  4. Step 4: Simplify right side
    385.56x = 121,408.49
  5. Step 5: Solve for x
    x = 121,408.49/385.56
  6. Step 6: Final answer
    x = 314.89

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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.