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Finding the Fourth Proportional to 874.50, 1,311.75 and 361.50

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Solution

The fourth proportional to 874.50, 1,311.75 and 361.50 is: 542.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.50 : 1,311.75 = 361.50 : x
  2. Step 2: Convert to fraction form
    874.50/1,311.75 = 361.50/x
  3. Step 3: Cross multiply
    874.50x = 1,311.75 × 361.50
  4. Step 4: Simplify right side
    874.50x = 474,197.63
  5. Step 5: Solve for x
    x = 474,197.63/874.50
  6. Step 6: Final answer
    x = 542.25

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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.