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Finding the Fourth Proportional to 914.09, 1,371.16 and 264.85

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Solution

The fourth proportional to 914.09, 1,371.16 and 264.85 is: 397.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.09 : 1,371.16 = 264.85 : x
  2. Step 2: Convert to fraction form
    914.09/1,371.16 = 264.85/x
  3. Step 3: Cross multiply
    914.09x = 1,371.16 × 264.85
  4. Step 4: Simplify right side
    914.09x = 363,151.73
  5. Step 5: Solve for x
    x = 363,151.73/914.09
  6. Step 6: Final answer
    x = 397.28

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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.