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Finding the Fourth Proportional to 971.39, 1,456.73 and 354.95

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Solution

The fourth proportional to 971.39, 1,456.73 and 354.95 is: 532.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.39 : 1,456.73 = 354.95 : x
  2. Step 2: Convert to fraction form
    971.39/1,456.73 = 354.95/x
  3. Step 3: Cross multiply
    971.39x = 1,456.73 × 354.95
  4. Step 4: Simplify right side
    971.39x = 517,057.26
  5. Step 5: Solve for x
    x = 517,057.26/971.39
  6. Step 6: Final answer
    x = 532.29

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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.