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Finding the Fourth Proportional to 690.04, 952.24 and 379.54

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Solution

The fourth proportional to 690.04, 952.24 and 379.54 is: 523.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.04 : 952.24 = 379.54 : x
  2. Step 2: Convert to fraction form
    690.04/952.24 = 379.54/x
  3. Step 3: Cross multiply
    690.04x = 952.24 × 379.54
  4. Step 4: Simplify right side
    690.04x = 361,413.17
  5. Step 5: Solve for x
    x = 361,413.17/690.04
  6. Step 6: Final answer
    x = 523.76

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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.