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Finding the Fourth Proportional to 381, 526.14 and 277.32

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Solution

The fourth proportional to 381, 526.14 and 277.32 is: 382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381 : 526.14 = 277.32 : x
  2. Step 2: Convert to fraction form
    381/526.14 = 277.32/x
  3. Step 3: Cross multiply
    381x = 526.14 × 277.32
  4. Step 4: Simplify right side
    381x = 145,909.14
  5. Step 5: Solve for x
    x = 145,909.14/381
  6. Step 6: Final answer
    x = 382.96

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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.