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Finding the Fourth Proportional to 462.84, 638.88 and 447.48

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Solution

The fourth proportional to 462.84, 638.88 and 447.48 is: 617.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.84 : 638.88 = 447.48 : x
  2. Step 2: Convert to fraction form
    462.84/638.88 = 447.48/x
  3. Step 3: Cross multiply
    462.84x = 638.88 × 447.48
  4. Step 4: Simplify right side
    462.84x = 285,886.02
  5. Step 5: Solve for x
    x = 285,886.02/462.84
  6. Step 6: Final answer
    x = 617.68

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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.