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Finding the Fourth Proportional to 287.52, 396.80 and 217.46

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Solution

The fourth proportional to 287.52, 396.80 and 217.46 is: 300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.52 : 396.80 = 217.46 : x
  2. Step 2: Convert to fraction form
    287.52/396.80 = 217.46/x
  3. Step 3: Cross multiply
    287.52x = 396.80 × 217.46
  4. Step 4: Simplify right side
    287.52x = 86,288.13
  5. Step 5: Solve for x
    x = 86,288.13/287.52
  6. Step 6: Final answer
    x = 300.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.