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Finding the Fourth Proportional to 358.25, 494.01 and 234.02

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Solution

The fourth proportional to 358.25, 494.01 and 234.02 is: 322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.25 : 494.01 = 234.02 : x
  2. Step 2: Convert to fraction form
    358.25/494.01 = 234.02/x
  3. Step 3: Cross multiply
    358.25x = 494.01 × 234.02
  4. Step 4: Simplify right side
    358.25x = 115,608.22
  5. Step 5: Solve for x
    x = 115,608.22/358.25
  6. Step 6: Final answer
    x = 322.70

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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.