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Finding the Fourth Proportional to 648.88, 971.49 and 443.14

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Solution

The fourth proportional to 648.88, 971.49 and 443.14 is: 663.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.88 : 971.49 = 443.14 : x
  2. Step 2: Convert to fraction form
    648.88/971.49 = 443.14/x
  3. Step 3: Cross multiply
    648.88x = 971.49 × 443.14
  4. Step 4: Simplify right side
    648.88x = 430,505.31
  5. Step 5: Solve for x
    x = 430,505.31/648.88
  6. Step 6: Final answer
    x = 663.46

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Half scale
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Double scale
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Similar ratio
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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.