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Finding the Fourth Proportional to 444.46, 613.20 and 297.13

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Solution

The fourth proportional to 444.46, 613.20 and 297.13 is: 409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.46 : 613.20 = 297.13 : x
  2. Step 2: Convert to fraction form
    444.46/613.20 = 297.13/x
  3. Step 3: Cross multiply
    444.46x = 613.20 × 297.13
  4. Step 4: Simplify right side
    444.46x = 182,197.05
  5. Step 5: Solve for x
    x = 182,197.05/444.46
  6. Step 6: Final answer
    x = 409.93

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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.