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Finding the Fourth Proportional to 375.39, 517.34 and 264.69

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Solution

The fourth proportional to 375.39, 517.34 and 264.69 is: 364.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.39 : 517.34 = 264.69 : x
  2. Step 2: Convert to fraction form
    375.39/517.34 = 264.69/x
  3. Step 3: Cross multiply
    375.39x = 517.34 × 264.69
  4. Step 4: Simplify right side
    375.39x = 136,935.39
  5. Step 5: Solve for x
    x = 136,935.39/375.39
  6. Step 6: Final answer
    x = 364.78

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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.