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Finding the Fourth Proportional to 381.64, 526.66 and 215.84

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Solution

The fourth proportional to 381.64, 526.66 and 215.84 is: 297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.64 : 526.66 = 215.84 : x
  2. Step 2: Convert to fraction form
    381.64/526.66 = 215.84/x
  3. Step 3: Cross multiply
    381.64x = 526.66 × 215.84
  4. Step 4: Simplify right side
    381.64x = 113,674.29
  5. Step 5: Solve for x
    x = 113,674.29/381.64
  6. Step 6: Final answer
    x = 297.86

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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.