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Finding the Fourth Proportional to 887.28, 1,330.11 and 309.75

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Solution

The fourth proportional to 887.28, 1,330.11 and 309.75 is: 464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.28 : 1,330.11 = 309.75 : x
  2. Step 2: Convert to fraction form
    887.28/1,330.11 = 309.75/x
  3. Step 3: Cross multiply
    887.28x = 1,330.11 × 309.75
  4. Step 4: Simplify right side
    887.28x = 412,001.57
  5. Step 5: Solve for x
    x = 412,001.57/887.28
  6. Step 6: Final answer
    x = 464.34

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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.