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Finding the Fourth Proportional to 690.47, 952.85 and 395.73

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Solution

The fourth proportional to 690.47, 952.85 and 395.73 is: 546.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.47 : 952.85 = 395.73 : x
  2. Step 2: Convert to fraction form
    690.47/952.85 = 395.73/x
  3. Step 3: Cross multiply
    690.47x = 952.85 × 395.73
  4. Step 4: Simplify right side
    690.47x = 377,069.35
  5. Step 5: Solve for x
    x = 377,069.35/690.47
  6. Step 6: Final answer
    x = 546.10

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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.