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Finding the Fourth Proportional to 937.71, 1,405.98 and 352.69

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Solution

The fourth proportional to 937.71, 1,405.98 and 352.69 is: 528.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.71 : 1,405.98 = 352.69 : x
  2. Step 2: Convert to fraction form
    937.71/1,405.98 = 352.69/x
  3. Step 3: Cross multiply
    937.71x = 1,405.98 × 352.69
  4. Step 4: Simplify right side
    937.71x = 495,871.57
  5. Step 5: Solve for x
    x = 495,871.57/937.71
  6. Step 6: Final answer
    x = 528.81

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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.