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Finding the Fourth Proportional to 874.88, 1,313.28 and 362.24

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Solution

The fourth proportional to 874.88, 1,313.28 and 362.24 is: 543.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.88 : 1,313.28 = 362.24 : x
  2. Step 2: Convert to fraction form
    874.88/1,313.28 = 362.24/x
  3. Step 3: Cross multiply
    874.88x = 1,313.28 × 362.24
  4. Step 4: Simplify right side
    874.88x = 475,722.55
  5. Step 5: Solve for x
    x = 475,722.55/874.88
  6. Step 6: Final answer
    x = 543.76

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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.