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Finding the Fourth Proportional to 937.31, 1,406.12 and 288

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Solution

The fourth proportional to 937.31, 1,406.12 and 288 is: 432.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.31 : 1,406.12 = 288 : x
  2. Step 2: Convert to fraction form
    937.31/1,406.12 = 288/x
  3. Step 3: Cross multiply
    937.31x = 1,406.12 × 288
  4. Step 4: Simplify right side
    937.31x = 404,961.12
  5. Step 5: Solve for x
    x = 404,961.12/937.31
  6. Step 6: Final answer
    x = 432.05

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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.