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Finding the Fourth Proportional to 444.49, 613.37 and 278.64

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Solution

The fourth proportional to 444.49, 613.37 and 278.64 is: 384.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.49 : 613.37 = 278.64 : x
  2. Step 2: Convert to fraction form
    444.49/613.37 = 278.64/x
  3. Step 3: Cross multiply
    444.49x = 613.37 × 278.64
  4. Step 4: Simplify right side
    444.49x = 170,910.11
  5. Step 5: Solve for x
    x = 170,910.11/444.49
  6. Step 6: Final answer
    x = 384.51

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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.