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Finding the Fourth Proportional to 444.58, 613.17 and 278.62

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Solution

The fourth proportional to 444.58, 613.17 and 278.62 is: 384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.58 : 613.17 = 278.62 : x
  2. Step 2: Convert to fraction form
    444.58/613.17 = 278.62/x
  3. Step 3: Cross multiply
    444.58x = 613.17 × 278.62
  4. Step 4: Simplify right side
    444.58x = 170,841.43
  5. Step 5: Solve for x
    x = 170,841.43/444.58
  6. Step 6: Final answer
    x = 384.28

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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.