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Finding the Fourth Proportional to 444.31, 666.25 and 259.28

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Solution

The fourth proportional to 444.31, 666.25 and 259.28 is: 388.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.31 : 666.25 = 259.28 : x
  2. Step 2: Convert to fraction form
    444.31/666.25 = 259.28/x
  3. Step 3: Cross multiply
    444.31x = 666.25 × 259.28
  4. Step 4: Simplify right side
    444.31x = 172,744.07
  5. Step 5: Solve for x
    x = 172,744.07/444.31
  6. Step 6: Final answer
    x = 388.79

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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.