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Finding the Fourth Proportional to 444.02, 664.74 and 278.96

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Solution

The fourth proportional to 444.02, 664.74 and 278.96 is: 417.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.02 : 664.74 = 278.96 : x
  2. Step 2: Convert to fraction form
    444.02/664.74 = 278.96/x
  3. Step 3: Cross multiply
    444.02x = 664.74 × 278.96
  4. Step 4: Simplify right side
    444.02x = 185,437.53
  5. Step 5: Solve for x
    x = 185,437.53/444.02
  6. Step 6: Final answer
    x = 417.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.