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Finding the Fourth Proportional to 874.36, 1,311.54 and 225.10

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Solution

The fourth proportional to 874.36, 1,311.54 and 225.10 is: 337.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.36 : 1,311.54 = 225.10 : x
  2. Step 2: Convert to fraction form
    874.36/1,311.54 = 225.10/x
  3. Step 3: Cross multiply
    874.36x = 1,311.54 × 225.10
  4. Step 4: Simplify right side
    874.36x = 295,222.34
  5. Step 5: Solve for x
    x = 295,222.34/874.36
  6. Step 6: Final answer
    x = 337.64

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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.