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Finding the Fourth Proportional to 287.85, 433.49 and 239.56

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Solution

The fourth proportional to 287.85, 433.49 and 239.56 is: 360.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.85 : 433.49 = 239.56 : x
  2. Step 2: Convert to fraction form
    287.85/433.49 = 239.56/x
  3. Step 3: Cross multiply
    287.85x = 433.49 × 239.56
  4. Step 4: Simplify right side
    287.85x = 103,844.58
  5. Step 5: Solve for x
    x = 103,844.58/287.85
  6. Step 6: Final answer
    x = 360.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.