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Finding the Fourth Proportional to 376.86, 520.07 and 211.08

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Solution

The fourth proportional to 376.86, 520.07 and 211.08 is: 291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.86 : 520.07 = 211.08 : x
  2. Step 2: Convert to fraction form
    376.86/520.07 = 211.08/x
  3. Step 3: Cross multiply
    376.86x = 520.07 × 211.08
  4. Step 4: Simplify right side
    376.86x = 109,775.32
  5. Step 5: Solve for x
    x = 109,775.32/376.86
  6. Step 6: Final answer
    x = 291.29

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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.