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Finding the Fourth Proportional to 1,616.27, 2,424.45 and 446.36

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Solution

The fourth proportional to 1,616.27, 2,424.45 and 446.36 is: 669.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.27 : 2,424.45 = 446.36 : x
  2. Step 2: Convert to fraction form
    1,616.27/2,424.45 = 446.36/x
  3. Step 3: Cross multiply
    1,616.27x = 2,424.45 × 446.36
  4. Step 4: Simplify right side
    1,616.27x = 1,082,165.38
  5. Step 5: Solve for x
    x = 1,082,165.38/1,616.27
  6. Step 6: Final answer
    x = 669.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.