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Finding the Fourth Proportional to 690.87, 953.48 and 396.23

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Solution

The fourth proportional to 690.87, 953.48 and 396.23 is: 546.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.87 : 953.48 = 396.23 : x
  2. Step 2: Convert to fraction form
    690.87/953.48 = 396.23/x
  3. Step 3: Cross multiply
    690.87x = 953.48 × 396.23
  4. Step 4: Simplify right side
    690.87x = 377,797.38
  5. Step 5: Solve for x
    x = 377,797.38/690.87
  6. Step 6: Final answer
    x = 546.84

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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.