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Finding the Fourth Proportional to 465.34, 698.02 and 396.40

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Solution

The fourth proportional to 465.34, 698.02 and 396.40 is: 594.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.34 : 698.02 = 396.40 : x
  2. Step 2: Convert to fraction form
    465.34/698.02 = 396.40/x
  3. Step 3: Cross multiply
    465.34x = 698.02 × 396.40
  4. Step 4: Simplify right side
    465.34x = 276,695.13
  5. Step 5: Solve for x
    x = 276,695.13/465.34
  6. Step 6: Final answer
    x = 594.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.