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Finding the Fourth Proportional to 377.95, 521.60 and 212.17

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Solution

The fourth proportional to 377.95, 521.60 and 212.17 is: 292.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.95 : 521.60 = 212.17 : x
  2. Step 2: Convert to fraction form
    377.95/521.60 = 212.17/x
  3. Step 3: Cross multiply
    377.95x = 521.60 × 212.17
  4. Step 4: Simplify right side
    377.95x = 110,667.87
  5. Step 5: Solve for x
    x = 110,667.87/377.95
  6. Step 6: Final answer
    x = 292.81

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Why These Related Problems?

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