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Finding the Fourth Proportional to 374.80, 517.16 and 234.94

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Solution

The fourth proportional to 374.80, 517.16 and 234.94 is: 324.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.80 : 517.16 = 234.94 : x
  2. Step 2: Convert to fraction form
    374.80/517.16 = 234.94/x
  3. Step 3: Cross multiply
    374.80x = 517.16 × 234.94
  4. Step 4: Simplify right side
    374.80x = 121,501.57
  5. Step 5: Solve for x
    x = 121,501.57/374.80
  6. Step 6: Final answer
    x = 324.18

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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.