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Finding the Fourth Proportional to 385.42, 531.81 and 228.18

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Solution

The fourth proportional to 385.42, 531.81 and 228.18 is: 314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.42 : 531.81 = 228.18 : x
  2. Step 2: Convert to fraction form
    385.42/531.81 = 228.18/x
  3. Step 3: Cross multiply
    385.42x = 531.81 × 228.18
  4. Step 4: Simplify right side
    385.42x = 121,348.41
  5. Step 5: Solve for x
    x = 121,348.41/385.42
  6. Step 6: Final answer
    x = 314.85

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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.