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Finding the Fourth Proportional to 394.32, 544.10 and 228.47

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Solution

The fourth proportional to 394.32, 544.10 and 228.47 is: 315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.32 : 544.10 = 228.47 : x
  2. Step 2: Convert to fraction form
    394.32/544.10 = 228.47/x
  3. Step 3: Cross multiply
    394.32x = 544.10 × 228.47
  4. Step 4: Simplify right side
    394.32x = 124,306.66
  5. Step 5: Solve for x
    x = 124,306.66/394.32
  6. Step 6: Final answer
    x = 315.24

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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.