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Finding the Fourth Proportional to 615.31, 850.10 and 523.02

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Solution

The fourth proportional to 615.31, 850.10 and 523.02 is: 722.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.31 : 850.10 = 523.02 : x
  2. Step 2: Convert to fraction form
    615.31/850.10 = 523.02/x
  3. Step 3: Cross multiply
    615.31x = 850.10 × 523.02
  4. Step 4: Simplify right side
    615.31x = 444,619.87
  5. Step 5: Solve for x
    x = 444,619.87/615.31
  6. Step 6: Final answer
    x = 722.59

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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.