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Finding the Fourth Proportional to 287.50, 394.57 and 259.82

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Solution

The fourth proportional to 287.50, 394.57 and 259.82 is: 356.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.50 : 394.57 = 259.82 : x
  2. Step 2: Convert to fraction form
    287.50/394.57 = 259.82/x
  3. Step 3: Cross multiply
    287.50x = 394.57 × 259.82
  4. Step 4: Simplify right side
    287.50x = 102,517.56
  5. Step 5: Solve for x
    x = 102,517.56/287.50
  6. Step 6: Final answer
    x = 356.58

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.