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Finding the Fourth Proportional to 381.61, 526.62 and 215.83

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Solution

The fourth proportional to 381.61, 526.62 and 215.83 is: 297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.61 : 526.62 = 215.83 : x
  2. Step 2: Convert to fraction form
    381.61/526.62 = 215.83/x
  3. Step 3: Cross multiply
    381.61x = 526.62 × 215.83
  4. Step 4: Simplify right side
    381.61x = 113,660.39
  5. Step 5: Solve for x
    x = 113,660.39/381.61
  6. Step 6: Final answer
    x = 297.84

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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.