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Finding the Fourth Proportional to 444.32, 613.37 and 297.05

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Solution

The fourth proportional to 444.32, 613.37 and 297.05 is: 410.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.32 : 613.37 = 297.05 : x
  2. Step 2: Convert to fraction form
    444.32/613.37 = 297.05/x
  3. Step 3: Cross multiply
    444.32x = 613.37 × 297.05
  4. Step 4: Simplify right side
    444.32x = 182,197.01
  5. Step 5: Solve for x
    x = 182,197.01/444.32
  6. Step 6: Final answer
    x = 410.06

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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.