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Finding the Fourth Proportional to 334.42, 499.24 and 323.03

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Solution

The fourth proportional to 334.42, 499.24 and 323.03 is: 482.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.42 : 499.24 = 323.03 : x
  2. Step 2: Convert to fraction form
    334.42/499.24 = 323.03/x
  3. Step 3: Cross multiply
    334.42x = 499.24 × 323.03
  4. Step 4: Simplify right side
    334.42x = 161,269.50
  5. Step 5: Solve for x
    x = 161,269.50/334.42
  6. Step 6: Final answer
    x = 482.24

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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.