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Finding the Fourth Proportional to 500.09, 690.45 and 323.13

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Solution

The fourth proportional to 500.09, 690.45 and 323.13 is: 446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.09 : 690.45 = 323.13 : x
  2. Step 2: Convert to fraction form
    500.09/690.45 = 323.13/x
  3. Step 3: Cross multiply
    500.09x = 690.45 × 323.13
  4. Step 4: Simplify right side
    500.09x = 223,105.11
  5. Step 5: Solve for x
    x = 223,105.11/500.09
  6. Step 6: Final answer
    x = 446.13

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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.