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Finding the Fourth Proportional to 971.71, 1,456.31 and 394.27

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Solution

The fourth proportional to 971.71, 1,456.31 and 394.27 is: 590.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.71 : 1,456.31 = 394.27 : x
  2. Step 2: Convert to fraction form
    971.71/1,456.31 = 394.27/x
  3. Step 3: Cross multiply
    971.71x = 1,456.31 × 394.27
  4. Step 4: Simplify right side
    971.71x = 574,177.37
  5. Step 5: Solve for x
    x = 574,177.37/971.71
  6. Step 6: Final answer
    x = 590.89

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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.