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Finding the Fourth Proportional to 444.61, 666.43 and 213.35

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Solution

The fourth proportional to 444.61, 666.43 and 213.35 is: 319.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.61 : 666.43 = 213.35 : x
  2. Step 2: Convert to fraction form
    444.61/666.43 = 213.35/x
  3. Step 3: Cross multiply
    444.61x = 666.43 × 213.35
  4. Step 4: Simplify right side
    444.61x = 142,182.84
  5. Step 5: Solve for x
    x = 142,182.84/444.61
  6. Step 6: Final answer
    x = 319.79

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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.