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Finding the Fourth Proportional to 971.04, 1,456.31 and 277.71

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Solution

The fourth proportional to 971.04, 1,456.31 and 277.71 is: 416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.04 : 1,456.31 = 277.71 : x
  2. Step 2: Convert to fraction form
    971.04/1,456.31 = 277.71/x
  3. Step 3: Cross multiply
    971.04x = 1,456.31 × 277.71
  4. Step 4: Simplify right side
    971.04x = 404,427.52
  5. Step 5: Solve for x
    x = 404,427.52/971.04
  6. Step 6: Final answer
    x = 416.49

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Half scale
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Double scale
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1.5x scale

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.