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Finding the Fourth Proportional to 500.03, 690.18 and 323.01

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Solution

The fourth proportional to 500.03, 690.18 and 323.01 is: 445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.03 : 690.18 = 323.01 : x
  2. Step 2: Convert to fraction form
    500.03/690.18 = 323.01/x
  3. Step 3: Cross multiply
    500.03x = 690.18 × 323.01
  4. Step 4: Simplify right side
    500.03x = 222,935.04
  5. Step 5: Solve for x
    x = 222,935.04/500.03
  6. Step 6: Final answer
    x = 445.85

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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.