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Finding the Fourth Proportional to 971.08, 1,456.66 and 277.79

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Solution

The fourth proportional to 971.08, 1,456.66 and 277.79 is: 416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.08 : 1,456.66 = 277.79 : x
  2. Step 2: Convert to fraction form
    971.08/1,456.66 = 277.79/x
  3. Step 3: Cross multiply
    971.08x = 1,456.66 × 277.79
  4. Step 4: Simplify right side
    971.08x = 404,645.58
  5. Step 5: Solve for x
    x = 404,645.58/971.08
  6. Step 6: Final answer
    x = 416.70

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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.