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Finding the Fourth Proportional to 375.49, 517.80 and 265.06

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Solution

The fourth proportional to 375.49, 517.80 and 265.06 is: 365.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.49 : 517.80 = 265.06 : x
  2. Step 2: Convert to fraction form
    375.49/517.80 = 265.06/x
  3. Step 3: Cross multiply
    375.49x = 517.80 × 265.06
  4. Step 4: Simplify right side
    375.49x = 137,248.07
  5. Step 5: Solve for x
    x = 137,248.07/375.49
  6. Step 6: Final answer
    x = 365.52

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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.