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Finding the Fourth Proportional to 615.99, 849.81 and 406.26

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Solution

The fourth proportional to 615.99, 849.81 and 406.26 is: 560.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.99 : 849.81 = 406.26 : x
  2. Step 2: Convert to fraction form
    615.99/849.81 = 406.26/x
  3. Step 3: Cross multiply
    615.99x = 849.81 × 406.26
  4. Step 4: Simplify right side
    615.99x = 345,243.81
  5. Step 5: Solve for x
    x = 345,243.81/615.99
  6. Step 6: Final answer
    x = 560.47

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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.