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Finding the Fourth Proportional to 287.59, 431.39 and 82.19

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Solution

The fourth proportional to 287.59, 431.39 and 82.19 is: 123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.59 : 431.39 = 82.19 : x
  2. Step 2: Convert to fraction form
    287.59/431.39 = 82.19/x
  3. Step 3: Cross multiply
    287.59x = 431.39 × 82.19
  4. Step 4: Simplify right side
    287.59x = 35,454.35
  5. Step 5: Solve for x
    x = 35,454.35/287.59
  6. Step 6: Final answer
    x = 123.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.