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Finding the Fourth Proportional to 377.75, 521.33 and 212.00

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Solution

The fourth proportional to 377.75, 521.33 and 212.00 is: 292.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.75 : 521.33 = 212.00 : x
  2. Step 2: Convert to fraction form
    377.75/521.33 = 212.00/x
  3. Step 3: Cross multiply
    377.75x = 521.33 × 212.00
  4. Step 4: Simplify right side
    377.75x = 110,518.29
  5. Step 5: Solve for x
    x = 110,518.29/377.75
  6. Step 6: Final answer
    x = 292.57

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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.