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Finding the Fourth Proportional to 690.33, 952.61 and 391.49

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Solution

The fourth proportional to 690.33, 952.61 and 391.49 is: 540.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.33 : 952.61 = 391.49 : x
  2. Step 2: Convert to fraction form
    690.33/952.61 = 391.49/x
  3. Step 3: Cross multiply
    690.33x = 952.61 × 391.49
  4. Step 4: Simplify right side
    690.33x = 372,935.33
  5. Step 5: Solve for x
    x = 372,935.33/690.33
  6. Step 6: Final answer
    x = 540.23

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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.