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Finding the Fourth Proportional to 374.66, 517.28 and 234.84

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Solution

The fourth proportional to 374.66, 517.28 and 234.84 is: 324.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.66 : 517.28 = 234.84 : x
  2. Step 2: Convert to fraction form
    374.66/517.28 = 234.84/x
  3. Step 3: Cross multiply
    374.66x = 517.28 × 234.84
  4. Step 4: Simplify right side
    374.66x = 121,478.04
  5. Step 5: Solve for x
    x = 121,478.04/374.66
  6. Step 6: Final answer
    x = 324.24

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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.