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Finding the Fourth Proportional to 865.38, 1,298.10 and 432.38

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Solution

The fourth proportional to 865.38, 1,298.10 and 432.38 is: 648.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.38 : 1,298.10 = 432.38 : x
  2. Step 2: Convert to fraction form
    865.38/1,298.10 = 432.38/x
  3. Step 3: Cross multiply
    865.38x = 1,298.10 × 432.38
  4. Step 4: Simplify right side
    865.38x = 561,272.48
  5. Step 5: Solve for x
    x = 561,272.48/865.38
  6. Step 6: Final answer
    x = 648.58

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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.