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Finding the Fourth Proportional to 444.32, 613.44 and 278.76

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Solution

The fourth proportional to 444.32, 613.44 and 278.76 is: 384.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.32 : 613.44 = 278.76 : x
  2. Step 2: Convert to fraction form
    444.32/613.44 = 278.76/x
  3. Step 3: Cross multiply
    444.32x = 613.44 × 278.76
  4. Step 4: Simplify right side
    444.32x = 171,002.53
  5. Step 5: Solve for x
    x = 171,002.53/444.32
  6. Step 6: Final answer
    x = 384.86

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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.