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Finding the Fourth Proportional to 971.00, 1,456.49 and 385.97

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Solution

The fourth proportional to 971.00, 1,456.49 and 385.97 is: 578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.00 : 1,456.49 = 385.97 : x
  2. Step 2: Convert to fraction form
    971.00/1,456.49 = 385.97/x
  3. Step 3: Cross multiply
    971.00x = 1,456.49 × 385.97
  4. Step 4: Simplify right side
    971.00x = 562,166.05
  5. Step 5: Solve for x
    x = 562,166.05/971.00
  6. Step 6: Final answer
    x = 578.96

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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.