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Finding the Fourth Proportional to 615.87, 849.42 and 450.23

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Solution

The fourth proportional to 615.87, 849.42 and 450.23 is: 620.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.87 : 849.42 = 450.23 : x
  2. Step 2: Convert to fraction form
    615.87/849.42 = 450.23/x
  3. Step 3: Cross multiply
    615.87x = 849.42 × 450.23
  4. Step 4: Simplify right side
    615.87x = 382,430.12
  5. Step 5: Solve for x
    x = 382,430.12/615.87
  6. Step 6: Final answer
    x = 620.96

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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.