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Finding the Fourth Proportional to 874.80, 1,312.02 and 327

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Solution

The fourth proportional to 874.80, 1,312.02 and 327 is: 490.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.80 : 1,312.02 = 327 : x
  2. Step 2: Convert to fraction form
    874.80/1,312.02 = 327/x
  3. Step 3: Cross multiply
    874.80x = 1,312.02 × 327
  4. Step 4: Simplify right side
    874.80x = 429,030.54
  5. Step 5: Solve for x
    x = 429,030.54/874.80
  6. Step 6: Final answer
    x = 490.43

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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.