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Finding the Fourth Proportional to 381.29, 526.25 and 234.02

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Solution

The fourth proportional to 381.29, 526.25 and 234.02 is: 322.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.29 : 526.25 = 234.02 : x
  2. Step 2: Convert to fraction form
    381.29/526.25 = 234.02/x
  3. Step 3: Cross multiply
    381.29x = 526.25 × 234.02
  4. Step 4: Simplify right side
    381.29x = 123,149.22
  5. Step 5: Solve for x
    x = 123,149.22/381.29
  6. Step 6: Final answer
    x = 322.98

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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.