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Finding the Fourth Proportional to 334.79, 498.90 and 323.78

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Solution

The fourth proportional to 334.79, 498.90 and 323.78 is: 482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.79 : 498.90 = 323.78 : x
  2. Step 2: Convert to fraction form
    334.79/498.90 = 323.78/x
  3. Step 3: Cross multiply
    334.79x = 498.90 × 323.78
  4. Step 4: Simplify right side
    334.79x = 161,535.90
  5. Step 5: Solve for x
    x = 161,535.90/334.79
  6. Step 6: Final answer
    x = 482.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.