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Finding the Fourth Proportional to 971.10, 1,456.65 and 277.70

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Solution

The fourth proportional to 971.10, 1,456.65 and 277.70 is: 416.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.10 : 1,456.65 = 277.70 : x
  2. Step 2: Convert to fraction form
    971.10/1,456.65 = 277.70/x
  3. Step 3: Cross multiply
    971.10x = 1,456.65 × 277.70
  4. Step 4: Simplify right side
    971.10x = 404,511.71
  5. Step 5: Solve for x
    x = 404,511.71/971.10
  6. Step 6: Final answer
    x = 416.55

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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.