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Finding the Fourth Proportional to 375.89, 518.67 and 210.11

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Solution

The fourth proportional to 375.89, 518.67 and 210.11 is: 289.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.89 : 518.67 = 210.11 : x
  2. Step 2: Convert to fraction form
    375.89/518.67 = 210.11/x
  3. Step 3: Cross multiply
    375.89x = 518.67 × 210.11
  4. Step 4: Simplify right side
    375.89x = 108,975.16
  5. Step 5: Solve for x
    x = 108,975.16/375.89
  6. Step 6: Final answer
    x = 289.92

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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.