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Finding the Fourth Proportional to 377.56, 521.02 and 209.51

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Solution

The fourth proportional to 377.56, 521.02 and 209.51 is: 289.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.56 : 521.02 = 209.51 : x
  2. Step 2: Convert to fraction form
    377.56/521.02 = 209.51/x
  3. Step 3: Cross multiply
    377.56x = 521.02 × 209.51
  4. Step 4: Simplify right side
    377.56x = 109,156.30
  5. Step 5: Solve for x
    x = 109,156.30/377.56
  6. Step 6: Final answer
    x = 289.11

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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.