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Finding the Fourth Proportional to 871.64, 1,307.23 and 255.18

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Solution

The fourth proportional to 871.64, 1,307.23 and 255.18 is: 382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.64 : 1,307.23 = 255.18 : x
  2. Step 2: Convert to fraction form
    871.64/1,307.23 = 255.18/x
  3. Step 3: Cross multiply
    871.64x = 1,307.23 × 255.18
  4. Step 4: Simplify right side
    871.64x = 333,578.95
  5. Step 5: Solve for x
    x = 333,578.95/871.64
  6. Step 6: Final answer
    x = 382.70

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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.