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Finding the Fourth Proportional to 287.65, 431.19 and 248.45

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Solution

The fourth proportional to 287.65, 431.19 and 248.45 is: 372.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.65 : 431.19 = 248.45 : x
  2. Step 2: Convert to fraction form
    287.65/431.19 = 248.45/x
  3. Step 3: Cross multiply
    287.65x = 431.19 × 248.45
  4. Step 4: Simplify right side
    287.65x = 107,129.42
  5. Step 5: Solve for x
    x = 107,129.42/287.65
  6. Step 6: Final answer
    x = 372.43

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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.