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Finding the Fourth Proportional to 358.31, 494.54 and 233.76

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Solution

The fourth proportional to 358.31, 494.54 and 233.76 is: 322.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.31 : 494.54 = 233.76 : x
  2. Step 2: Convert to fraction form
    358.31/494.54 = 233.76/x
  3. Step 3: Cross multiply
    358.31x = 494.54 × 233.76
  4. Step 4: Simplify right side
    358.31x = 115,601.96
  5. Step 5: Solve for x
    x = 115,601.96/358.31
  6. Step 6: Final answer
    x = 322.63

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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.