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Finding the Fourth Proportional to 482.92, 721.25 and 418.12

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Solution

The fourth proportional to 482.92, 721.25 and 418.12 is: 624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.92 : 721.25 = 418.12 : x
  2. Step 2: Convert to fraction form
    482.92/721.25 = 418.12/x
  3. Step 3: Cross multiply
    482.92x = 721.25 × 418.12
  4. Step 4: Simplify right side
    482.92x = 301,569.05
  5. Step 5: Solve for x
    x = 301,569.05/482.92
  6. Step 6: Final answer
    x = 624.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.