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Finding the Fourth Proportional to 444.47, 666.71 and 213.32

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Solution

The fourth proportional to 444.47, 666.71 and 213.32 is: 319.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.47 : 666.71 = 213.32 : x
  2. Step 2: Convert to fraction form
    444.47/666.71 = 213.32/x
  3. Step 3: Cross multiply
    444.47x = 666.71 × 213.32
  4. Step 4: Simplify right side
    444.47x = 142,222.68
  5. Step 5: Solve for x
    x = 142,222.68/444.47
  6. Step 6: Final answer
    x = 319.98

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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.