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Finding the Fourth Proportional to 444.32, 666.47 and 184.44

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Solution

The fourth proportional to 444.32, 666.47 and 184.44 is: 276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.32 : 666.47 = 184.44 : x
  2. Step 2: Convert to fraction form
    444.32/666.47 = 184.44/x
  3. Step 3: Cross multiply
    444.32x = 666.47 × 184.44
  4. Step 4: Simplify right side
    444.32x = 122,924.19
  5. Step 5: Solve for x
    x = 122,924.19/444.32
  6. Step 6: Final answer
    x = 276.66

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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.