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Finding the Fourth Proportional to 444.30, 666.46 and 155.74

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Solution

The fourth proportional to 444.30, 666.46 and 155.74 is: 233.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.30 : 666.46 = 155.74 : x
  2. Step 2: Convert to fraction form
    444.30/666.46 = 155.74/x
  3. Step 3: Cross multiply
    444.30x = 666.46 × 155.74
  4. Step 4: Simplify right side
    444.30x = 103,794.48
  5. Step 5: Solve for x
    x = 103,794.48/444.30
  6. Step 6: Final answer
    x = 233.61

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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.