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Finding the Fourth Proportional to 872.49, 1,308.74 and 295.77

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Solution

The fourth proportional to 872.49, 1,308.74 and 295.77 is: 443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.49 : 1,308.74 = 295.77 : x
  2. Step 2: Convert to fraction form
    872.49/1,308.74 = 295.77/x
  3. Step 3: Cross multiply
    872.49x = 1,308.74 × 295.77
  4. Step 4: Simplify right side
    872.49x = 387,084.55
  5. Step 5: Solve for x
    x = 387,084.55/872.49
  6. Step 6: Final answer
    x = 443.66

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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.