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Finding the Fourth Proportional to 444.78, 613.76 and 278.96

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Solution

The fourth proportional to 444.78, 613.76 and 278.96 is: 384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.78 : 613.76 = 278.96 : x
  2. Step 2: Convert to fraction form
    444.78/613.76 = 278.96/x
  3. Step 3: Cross multiply
    444.78x = 613.76 × 278.96
  4. Step 4: Simplify right side
    444.78x = 171,210.03
  5. Step 5: Solve for x
    x = 171,210.03/444.78
  6. Step 6: Final answer
    x = 384.93

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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.