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Finding the Fourth Proportional to 444.29, 613.42 and 297.35

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Solution

The fourth proportional to 444.29, 613.42 and 297.35 is: 410.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.29 : 613.42 = 297.35 : x
  2. Step 2: Convert to fraction form
    444.29/613.42 = 297.35/x
  3. Step 3: Cross multiply
    444.29x = 613.42 × 297.35
  4. Step 4: Simplify right side
    444.29x = 182,398.87
  5. Step 5: Solve for x
    x = 182,398.87/444.29
  6. Step 6: Final answer
    x = 410.54

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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.