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Finding the Fourth Proportional to 971.32, 1,456.80 and 277.84

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Solution

The fourth proportional to 971.32, 1,456.80 and 277.84 is: 416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.32 : 1,456.80 = 277.84 : x
  2. Step 2: Convert to fraction form
    971.32/1,456.80 = 277.84/x
  3. Step 3: Cross multiply
    971.32x = 1,456.80 × 277.84
  4. Step 4: Simplify right side
    971.32x = 404,757.31
  5. Step 5: Solve for x
    x = 404,757.31/971.32
  6. Step 6: Final answer
    x = 416.71

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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.