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Finding the Fourth Proportional to 287.93, 431.87 and 82.47

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Solution

The fourth proportional to 287.93, 431.87 and 82.47 is: 123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.93 : 431.87 = 82.47 : x
  2. Step 2: Convert to fraction form
    287.93/431.87 = 82.47/x
  3. Step 3: Cross multiply
    287.93x = 431.87 × 82.47
  4. Step 4: Simplify right side
    287.93x = 35,615.91
  5. Step 5: Solve for x
    x = 35,615.91/287.93
  6. Step 6: Final answer
    x = 123.70

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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.