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Finding the Fourth Proportional to 937.53, 1,406.24 and 288.27

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Solution

The fourth proportional to 937.53, 1,406.24 and 288.27 is: 432.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.53 : 1,406.24 = 288.27 : x
  2. Step 2: Convert to fraction form
    937.53/1,406.24 = 288.27/x
  3. Step 3: Cross multiply
    937.53x = 1,406.24 × 288.27
  4. Step 4: Simplify right side
    937.53x = 405,376.80
  5. Step 5: Solve for x
    x = 405,376.80/937.53
  6. Step 6: Final answer
    x = 432.39

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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.