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Finding the Fourth Proportional to 381.16, 525.85 and 233.74

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Solution

The fourth proportional to 381.16, 525.85 and 233.74 is: 322.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.16 : 525.85 = 233.74 : x
  2. Step 2: Convert to fraction form
    381.16/525.85 = 233.74/x
  3. Step 3: Cross multiply
    381.16x = 525.85 × 233.74
  4. Step 4: Simplify right side
    381.16x = 122,910.28
  5. Step 5: Solve for x
    x = 122,910.28/381.16
  6. Step 6: Final answer
    x = 322.47

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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.