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Finding the Fourth Proportional to 465, 694.25 and 396.56

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Solution

The fourth proportional to 465, 694.25 and 396.56 is: 592.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    465 : 694.25 = 396.56 : x
  2. Step 2: Convert to fraction form
    465/694.25 = 396.56/x
  3. Step 3: Cross multiply
    465x = 694.25 × 396.56
  4. Step 4: Simplify right side
    465x = 275,306.33
  5. Step 5: Solve for x
    x = 275,306.33/465
  6. Step 6: Final answer
    x = 592.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.