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Finding the Fourth Proportional to 597.94, 825.45 and 399.10

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Solution

The fourth proportional to 597.94, 825.45 and 399.10 is: 550.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.94 : 825.45 = 399.10 : x
  2. Step 2: Convert to fraction form
    597.94/825.45 = 399.10/x
  3. Step 3: Cross multiply
    597.94x = 825.45 × 399.10
  4. Step 4: Simplify right side
    597.94x = 329,430.97
  5. Step 5: Solve for x
    x = 329,430.97/597.94
  6. Step 6: Final answer
    x = 550.95

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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.