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Finding the Fourth Proportional to 447.84, 618.24 and 337.35

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Solution

The fourth proportional to 447.84, 618.24 and 337.35 is: 465.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.84 : 618.24 = 337.35 : x
  2. Step 2: Convert to fraction form
    447.84/618.24 = 337.35/x
  3. Step 3: Cross multiply
    447.84x = 618.24 × 337.35
  4. Step 4: Simplify right side
    447.84x = 208,563.26
  5. Step 5: Solve for x
    x = 208,563.26/447.84
  6. Step 6: Final answer
    x = 465.71

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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.