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Finding the Fourth Proportional to 874.36, 1,311.76 and 297.24

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Solution

The fourth proportional to 874.36, 1,311.76 and 297.24 is: 445.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.36 : 1,311.76 = 297.24 : x
  2. Step 2: Convert to fraction form
    874.36/1,311.76 = 297.24/x
  3. Step 3: Cross multiply
    874.36x = 1,311.76 × 297.24
  4. Step 4: Simplify right side
    874.36x = 389,907.54
  5. Step 5: Solve for x
    x = 389,907.54/874.36
  6. Step 6: Final answer
    x = 445.93

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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.