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Finding the Fourth Proportional to 444.60, 666.06 and 342.12

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Solution

The fourth proportional to 444.60, 666.06 and 342.12 is: 512.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.60 : 666.06 = 342.12 : x
  2. Step 2: Convert to fraction form
    444.60/666.06 = 342.12/x
  3. Step 3: Cross multiply
    444.60x = 666.06 × 342.12
  4. Step 4: Simplify right side
    444.60x = 227,872.45
  5. Step 5: Solve for x
    x = 227,872.45/444.60
  6. Step 6: Final answer
    x = 512.53

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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.