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Finding the Fourth Proportional to 865.38, 1,298.34 and 288.27

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Solution

The fourth proportional to 865.38, 1,298.34 and 288.27 is: 432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.38 : 1,298.34 = 288.27 : x
  2. Step 2: Convert to fraction form
    865.38/1,298.34 = 288.27/x
  3. Step 3: Cross multiply
    865.38x = 1,298.34 × 288.27
  4. Step 4: Simplify right side
    865.38x = 374,272.47
  5. Step 5: Solve for x
    x = 374,272.47/865.38
  6. Step 6: Final answer
    x = 432.49

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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.