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Finding the Fourth Proportional to 375.16, 517.67 and 209.35

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Solution

The fourth proportional to 375.16, 517.67 and 209.35 is: 288.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.16 : 517.67 = 209.35 : x
  2. Step 2: Convert to fraction form
    375.16/517.67 = 209.35/x
  3. Step 3: Cross multiply
    375.16x = 517.67 × 209.35
  4. Step 4: Simplify right side
    375.16x = 108,374.21
  5. Step 5: Solve for x
    x = 108,374.21/375.16
  6. Step 6: Final answer
    x = 288.87

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