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Finding the Fourth Proportional to 463.30, 695.07 and 326.62

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Solution

The fourth proportional to 463.30, 695.07 and 326.62 is: 490.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.30 : 695.07 = 326.62 : x
  2. Step 2: Convert to fraction form
    463.30/695.07 = 326.62/x
  3. Step 3: Cross multiply
    463.30x = 695.07 × 326.62
  4. Step 4: Simplify right side
    463.30x = 227,021.64
  5. Step 5: Solve for x
    x = 227,021.64/463.30
  6. Step 6: Final answer
    x = 490.01

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