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Finding the Fourth Proportional to 447.16, 616.94 and 309.24

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Solution

The fourth proportional to 447.16, 616.94 and 309.24 is: 426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.16 : 616.94 = 309.24 : x
  2. Step 2: Convert to fraction form
    447.16/616.94 = 309.24/x
  3. Step 3: Cross multiply
    447.16x = 616.94 × 309.24
  4. Step 4: Simplify right side
    447.16x = 190,782.53
  5. Step 5: Solve for x
    x = 190,782.53/447.16
  6. Step 6: Final answer
    x = 426.65

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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.