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Finding the Fourth Proportional to 402.13, 554.91 and 233.96

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Solution

The fourth proportional to 402.13, 554.91 and 233.96 is: 322.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.13 : 554.91 = 233.96 : x
  2. Step 2: Convert to fraction form
    402.13/554.91 = 233.96/x
  3. Step 3: Cross multiply
    402.13x = 554.91 × 233.96
  4. Step 4: Simplify right side
    402.13x = 129,826.74
  5. Step 5: Solve for x
    x = 129,826.74/402.13
  6. Step 6: Final answer
    x = 322.85

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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.