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Finding the Fourth Proportional to 575.98, 867.09 and 516.44

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Solution

The fourth proportional to 575.98, 867.09 and 516.44 is: 777.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.98 : 867.09 = 516.44 : x
  2. Step 2: Convert to fraction form
    575.98/867.09 = 516.44/x
  3. Step 3: Cross multiply
    575.98x = 867.09 × 516.44
  4. Step 4: Simplify right side
    575.98x = 447,799.96
  5. Step 5: Solve for x
    x = 447,799.96/575.98
  6. Step 6: Final answer
    x = 777.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.