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Finding the Fourth Proportional to 612.47, 914.91 and 490.97

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Solution

The fourth proportional to 612.47, 914.91 and 490.97 is: 733.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.47 : 914.91 = 490.97 : x
  2. Step 2: Convert to fraction form
    612.47/914.91 = 490.97/x
  3. Step 3: Cross multiply
    612.47x = 914.91 × 490.97
  4. Step 4: Simplify right side
    612.47x = 449,190.63
  5. Step 5: Solve for x
    x = 449,190.63/612.47
  6. Step 6: Final answer
    x = 733.41

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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.