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Finding the Fourth Proportional to 937.27, 1,406.27 and 352.54

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Solution

The fourth proportional to 937.27, 1,406.27 and 352.54 is: 528.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.27 : 1,406.27 = 352.54 : x
  2. Step 2: Convert to fraction form
    937.27/1,406.27 = 352.54/x
  3. Step 3: Cross multiply
    937.27x = 1,406.27 × 352.54
  4. Step 4: Simplify right side
    937.27x = 495,766.43
  5. Step 5: Solve for x
    x = 495,766.43/937.27
  6. Step 6: Final answer
    x = 528.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.