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Finding the Fourth Proportional to 444.70, 613.66 and 297.31

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Solution

The fourth proportional to 444.70, 613.66 and 297.31 is: 410.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.70 : 613.66 = 297.31 : x
  2. Step 2: Convert to fraction form
    444.70/613.66 = 297.31/x
  3. Step 3: Cross multiply
    444.70x = 613.66 × 297.31
  4. Step 4: Simplify right side
    444.70x = 182,447.25
  5. Step 5: Solve for x
    x = 182,447.25/444.70
  6. Step 6: Final answer
    x = 410.27

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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.