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Finding the Fourth Proportional to 381.20, 526.02 and 233.81

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Solution

The fourth proportional to 381.20, 526.02 and 233.81 is: 322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.20 : 526.02 = 233.81 : x
  2. Step 2: Convert to fraction form
    381.20/526.02 = 233.81/x
  3. Step 3: Cross multiply
    381.20x = 526.02 × 233.81
  4. Step 4: Simplify right side
    381.20x = 122,988.74
  5. Step 5: Solve for x
    x = 122,988.74/381.20
  6. Step 6: Final answer
    x = 322.64

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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.