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Finding the Fourth Proportional to 334.71, 500.81 and 232.19

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Solution

The fourth proportional to 334.71, 500.81 and 232.19 is: 347.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.71 : 500.81 = 232.19 : x
  2. Step 2: Convert to fraction form
    334.71/500.81 = 232.19/x
  3. Step 3: Cross multiply
    334.71x = 500.81 × 232.19
  4. Step 4: Simplify right side
    334.71x = 116,283.16
  5. Step 5: Solve for x
    x = 116,283.16/334.71
  6. Step 6: Final answer
    x = 347.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.