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Finding the Fourth Proportional to 871.45, 1,307.24 and 255.16

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Solution

The fourth proportional to 871.45, 1,307.24 and 255.16 is: 382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.45 : 1,307.24 = 255.16 : x
  2. Step 2: Convert to fraction form
    871.45/1,307.24 = 255.16/x
  3. Step 3: Cross multiply
    871.45x = 1,307.24 × 255.16
  4. Step 4: Simplify right side
    871.45x = 333,555.36
  5. Step 5: Solve for x
    x = 333,555.36/871.45
  6. Step 6: Final answer
    x = 382.76

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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.