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Finding the Fourth Proportional to 377.58, 521.02 and 211.75

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Solution

The fourth proportional to 377.58, 521.02 and 211.75 is: 292.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.58 : 521.02 = 211.75 : x
  2. Step 2: Convert to fraction form
    377.58/521.02 = 211.75/x
  3. Step 3: Cross multiply
    377.58x = 521.02 × 211.75
  4. Step 4: Simplify right side
    377.58x = 110,325.99
  5. Step 5: Solve for x
    x = 110,325.99/377.58
  6. Step 6: Final answer
    x = 292.19

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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.