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Finding the Fourth Proportional to 874.24, 1,311.36 and 297.52

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Solution

The fourth proportional to 874.24, 1,311.36 and 297.52 is: 446.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.24 : 1,311.36 = 297.52 : x
  2. Step 2: Convert to fraction form
    874.24/1,311.36 = 297.52/x
  3. Step 3: Cross multiply
    874.24x = 1,311.36 × 297.52
  4. Step 4: Simplify right side
    874.24x = 390,155.83
  5. Step 5: Solve for x
    x = 390,155.83/874.24
  6. Step 6: Final answer
    x = 446.28

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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.