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Finding the Fourth Proportional to 287.76, 431.72 and 82.33

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Solution

The fourth proportional to 287.76, 431.72 and 82.33 is: 123.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.76 : 431.72 = 82.33 : x
  2. Step 2: Convert to fraction form
    287.76/431.72 = 82.33/x
  3. Step 3: Cross multiply
    287.76x = 431.72 × 82.33
  4. Step 4: Simplify right side
    287.76x = 35,543.51
  5. Step 5: Solve for x
    x = 35,543.51/287.76
  6. Step 6: Final answer
    x = 123.52

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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.