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Finding the Fourth Proportional to 887.44, 1,331.28 and 310.24

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Solution

The fourth proportional to 887.44, 1,331.28 and 310.24 is: 465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.44 : 1,331.28 = 310.24 : x
  2. Step 2: Convert to fraction form
    887.44/1,331.28 = 310.24/x
  3. Step 3: Cross multiply
    887.44x = 1,331.28 × 310.24
  4. Step 4: Simplify right side
    887.44x = 413,016.31
  5. Step 5: Solve for x
    x = 413,016.31/887.44
  6. Step 6: Final answer
    x = 465.40

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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.