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Finding the Fourth Proportional to 398.50, 549.92 and 228.13

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Solution

The fourth proportional to 398.50, 549.92 and 228.13 is: 314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.50 : 549.92 = 228.13 : x
  2. Step 2: Convert to fraction form
    398.50/549.92 = 228.13/x
  3. Step 3: Cross multiply
    398.50x = 549.92 × 228.13
  4. Step 4: Simplify right side
    398.50x = 125,452.45
  5. Step 5: Solve for x
    x = 125,452.45/398.50
  6. Step 6: Final answer
    x = 314.81

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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.