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Finding the Fourth Proportional to 444.27, 613.31 and 278.57

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Solution

The fourth proportional to 444.27, 613.31 and 278.57 is: 384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.27 : 613.31 = 278.57 : x
  2. Step 2: Convert to fraction form
    444.27/613.31 = 278.57/x
  3. Step 3: Cross multiply
    444.27x = 613.31 × 278.57
  4. Step 4: Simplify right side
    444.27x = 170,852.26
  5. Step 5: Solve for x
    x = 170,852.26/444.27
  6. Step 6: Final answer
    x = 384.57

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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.