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Finding the Fourth Proportional to 887.19, 1,330.26 and 270.71

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Solution

The fourth proportional to 887.19, 1,330.26 and 270.71 is: 405.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.19 : 1,330.26 = 270.71 : x
  2. Step 2: Convert to fraction form
    887.19/1,330.26 = 270.71/x
  3. Step 3: Cross multiply
    887.19x = 1,330.26 × 270.71
  4. Step 4: Simplify right side
    887.19x = 360,114.68
  5. Step 5: Solve for x
    x = 360,114.68/887.19
  6. Step 6: Final answer
    x = 405.90

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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.