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Finding the Fourth Proportional to 500.03, 690.08 and 323.11

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Solution

The fourth proportional to 500.03, 690.08 and 323.11 is: 445.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.03 : 690.08 = 323.11 : x
  2. Step 2: Convert to fraction form
    500.03/690.08 = 323.11/x
  3. Step 3: Cross multiply
    500.03x = 690.08 × 323.11
  4. Step 4: Simplify right side
    500.03x = 222,971.75
  5. Step 5: Solve for x
    x = 222,971.75/500.03
  6. Step 6: Final answer
    x = 445.92

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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.