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Finding the Fourth Proportional to 375.31, 517.98 and 209.53

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Solution

The fourth proportional to 375.31, 517.98 and 209.53 is: 289.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.31 : 517.98 = 209.53 : x
  2. Step 2: Convert to fraction form
    375.31/517.98 = 209.53/x
  3. Step 3: Cross multiply
    375.31x = 517.98 × 209.53
  4. Step 4: Simplify right side
    375.31x = 108,533.77
  5. Step 5: Solve for x
    x = 108,533.77/375.31
  6. Step 6: Final answer
    x = 289.18

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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.