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Finding the Fourth Proportional to 358.35, 494.26 and 233.81

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Solution

The fourth proportional to 358.35, 494.26 and 233.81 is: 322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.35 : 494.26 = 233.81 : x
  2. Step 2: Convert to fraction form
    358.35/494.26 = 233.81/x
  3. Step 3: Cross multiply
    358.35x = 494.26 × 233.81
  4. Step 4: Simplify right side
    358.35x = 115,562.93
  5. Step 5: Solve for x
    x = 115,562.93/358.35
  6. Step 6: Final answer
    x = 322.49

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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.