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Finding the Fourth Proportional to 465.98, 642.96 and 396.32

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Solution

The fourth proportional to 465.98, 642.96 and 396.32 is: 546.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.98 : 642.96 = 396.32 : x
  2. Step 2: Convert to fraction form
    465.98/642.96 = 396.32/x
  3. Step 3: Cross multiply
    465.98x = 642.96 × 396.32
  4. Step 4: Simplify right side
    465.98x = 254,817.91
  5. Step 5: Solve for x
    x = 254,817.91/465.98
  6. Step 6: Final answer
    x = 546.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.