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Finding the Fourth Proportional to 805.24, 1,208 and 440.08

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Solution

The fourth proportional to 805.24, 1,208 and 440.08 is: 660.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.24 : 1,208 = 440.08 : x
  2. Step 2: Convert to fraction form
    805.24/1,208 = 440.08/x
  3. Step 3: Cross multiply
    805.24x = 1,208 × 440.08
  4. Step 4: Simplify right side
    805.24x = 531,616.64
  5. Step 5: Solve for x
    x = 531,616.64/805.24
  6. Step 6: Final answer
    x = 660.20

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