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Finding the Fourth Proportional to 865.47, 1,298.11 and 216.16

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Solution

The fourth proportional to 865.47, 1,298.11 and 216.16 is: 324.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.47 : 1,298.11 = 216.16 : x
  2. Step 2: Convert to fraction form
    865.47/1,298.11 = 216.16/x
  3. Step 3: Cross multiply
    865.47x = 1,298.11 × 216.16
  4. Step 4: Simplify right side
    865.47x = 280,599.46
  5. Step 5: Solve for x
    x = 280,599.46/865.47
  6. Step 6: Final answer
    x = 324.22

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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.