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Finding the Fourth Proportional to 500, 690.06 and 303.44

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Solution

The fourth proportional to 500, 690.06 and 303.44 is: 418.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    500 : 690.06 = 303.44 : x
  2. Step 2: Convert to fraction form
    500/690.06 = 303.44/x
  3. Step 3: Cross multiply
    500x = 690.06 × 303.44
  4. Step 4: Simplify right side
    500x = 209,391.81
  5. Step 5: Solve for x
    x = 209,391.81/500
  6. Step 6: Final answer
    x = 418.78

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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.