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Finding the Fourth Proportional to 287.88, 396.34 and 229.32

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Solution

The fourth proportional to 287.88, 396.34 and 229.32 is: 315.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.88 : 396.34 = 229.32 : x
  2. Step 2: Convert to fraction form
    287.88/396.34 = 229.32/x
  3. Step 3: Cross multiply
    287.88x = 396.34 × 229.32
  4. Step 4: Simplify right side
    287.88x = 90,888.69
  5. Step 5: Solve for x
    x = 90,888.69/287.88
  6. Step 6: Final answer
    x = 315.72

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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.