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Finding the Fourth Proportional to 375.30, 517.91 and 233.48

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Solution

The fourth proportional to 375.30, 517.91 and 233.48 is: 322.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.30 : 517.91 = 233.48 : x
  2. Step 2: Convert to fraction form
    375.30/517.91 = 233.48/x
  3. Step 3: Cross multiply
    375.30x = 517.91 × 233.48
  4. Step 4: Simplify right side
    375.30x = 120,917.87
  5. Step 5: Solve for x
    x = 120,917.87/375.30
  6. Step 6: Final answer
    x = 322.19

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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.