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Finding the Fourth Proportional to 927.58, 1,391.15 and 269.45

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Solution

The fourth proportional to 927.58, 1,391.15 and 269.45 is: 404.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.58 : 1,391.15 = 269.45 : x
  2. Step 2: Convert to fraction form
    927.58/1,391.15 = 269.45/x
  3. Step 3: Cross multiply
    927.58x = 1,391.15 × 269.45
  4. Step 4: Simplify right side
    927.58x = 374,848.59
  5. Step 5: Solve for x
    x = 374,848.59/927.58
  6. Step 6: Final answer
    x = 404.12

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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.