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Finding the Fourth Proportional to 293.03, 403.62 and 234.71

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Solution

The fourth proportional to 293.03, 403.62 and 234.71 is: 323.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.03 : 403.62 = 234.71 : x
  2. Step 2: Convert to fraction form
    293.03/403.62 = 234.71/x
  3. Step 3: Cross multiply
    293.03x = 403.62 × 234.71
  4. Step 4: Simplify right side
    293.03x = 94,733.65
  5. Step 5: Solve for x
    x = 94,733.65/293.03
  6. Step 6: Final answer
    x = 323.29

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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.