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Finding the Fourth Proportional to 690.67, 952.86 and 395.83

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Solution

The fourth proportional to 690.67, 952.86 and 395.83 is: 546.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.67 : 952.86 = 395.83 : x
  2. Step 2: Convert to fraction form
    690.67/952.86 = 395.83/x
  3. Step 3: Cross multiply
    690.67x = 952.86 × 395.83
  4. Step 4: Simplify right side
    690.67x = 377,170.57
  5. Step 5: Solve for x
    x = 377,170.57/690.67
  6. Step 6: Final answer
    x = 546.09

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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.