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Finding the Fourth Proportional to 937.33, 1,405.87 and 288.01

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Solution

The fourth proportional to 937.33, 1,405.87 and 288.01 is: 431.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.33 : 1,405.87 = 288.01 : x
  2. Step 2: Convert to fraction form
    937.33/1,405.87 = 288.01/x
  3. Step 3: Cross multiply
    937.33x = 1,405.87 × 288.01
  4. Step 4: Simplify right side
    937.33x = 404,896.15
  5. Step 5: Solve for x
    x = 404,896.15/937.33
  6. Step 6: Final answer
    x = 431.97

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