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Finding the Fourth Proportional to 865.34, 1,298 and 216.08

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Solution

The fourth proportional to 865.34, 1,298 and 216.08 is: 324.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.34 : 1,298 = 216.08 : x
  2. Step 2: Convert to fraction form
    865.34/1,298 = 216.08/x
  3. Step 3: Cross multiply
    865.34x = 1,298 × 216.08
  4. Step 4: Simplify right side
    865.34x = 280,471.84
  5. Step 5: Solve for x
    x = 280,471.84/865.34
  6. Step 6: Final answer
    x = 324.12

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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.