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Finding the Fourth Proportional to 375.68, 517.08 and 320.24

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Solution

The fourth proportional to 375.68, 517.08 and 320.24 is: 440.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.68 : 517.08 = 320.24 : x
  2. Step 2: Convert to fraction form
    375.68/517.08 = 320.24/x
  3. Step 3: Cross multiply
    375.68x = 517.08 × 320.24
  4. Step 4: Simplify right side
    375.68x = 165,589.70
  5. Step 5: Solve for x
    x = 165,589.70/375.68
  6. Step 6: Final answer
    x = 440.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.