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Finding the Fourth Proportional to 690.98, 953.54 and 396.23

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Solution

The fourth proportional to 690.98, 953.54 and 396.23 is: 546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.98 : 953.54 = 396.23 : x
  2. Step 2: Convert to fraction form
    690.98/953.54 = 396.23/x
  3. Step 3: Cross multiply
    690.98x = 953.54 × 396.23
  4. Step 4: Simplify right side
    690.98x = 377,819.17
  5. Step 5: Solve for x
    x = 377,819.17/690.98
  6. Step 6: Final answer
    x = 546.79

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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.