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Finding the Fourth Proportional to 511.30, 706.25 and 444.78

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Solution

The fourth proportional to 511.30, 706.25 and 444.78 is: 614.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.30 : 706.25 = 444.78 : x
  2. Step 2: Convert to fraction form
    511.30/706.25 = 444.78/x
  3. Step 3: Cross multiply
    511.30x = 706.25 × 444.78
  4. Step 4: Simplify right side
    511.30x = 314,125.88
  5. Step 5: Solve for x
    x = 314,125.88/511.30
  6. Step 6: Final answer
    x = 614.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.