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Finding the Fourth Proportional to 465.72, 697.32 and 396.84

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Solution

The fourth proportional to 465.72, 697.32 and 396.84 is: 594.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.72 : 697.32 = 396.84 : x
  2. Step 2: Convert to fraction form
    465.72/697.32 = 396.84/x
  3. Step 3: Cross multiply
    465.72x = 697.32 × 396.84
  4. Step 4: Simplify right side
    465.72x = 276,724.47
  5. Step 5: Solve for x
    x = 276,724.47/465.72
  6. Step 6: Final answer
    x = 594.19

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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.