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Finding the Fourth Proportional to 358.26, 494 and 234.02

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Solution

The fourth proportional to 358.26, 494 and 234.02 is: 322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.26 : 494 = 234.02 : x
  2. Step 2: Convert to fraction form
    358.26/494 = 234.02/x
  3. Step 3: Cross multiply
    358.26x = 494 × 234.02
  4. Step 4: Simplify right side
    358.26x = 115,605.88
  5. Step 5: Solve for x
    x = 115,605.88/358.26
  6. Step 6: Final answer
    x = 322.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.