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Finding the Fourth Proportional to 874.44, 1,312.34 and 327.02

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Solution

The fourth proportional to 874.44, 1,312.34 and 327.02 is: 490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.44 : 1,312.34 = 327.02 : x
  2. Step 2: Convert to fraction form
    874.44/1,312.34 = 327.02/x
  3. Step 3: Cross multiply
    874.44x = 1,312.34 × 327.02
  4. Step 4: Simplify right side
    874.44x = 429,153.23
  5. Step 5: Solve for x
    x = 429,153.23/874.44
  6. Step 6: Final answer
    x = 490.77

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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.