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Finding the Fourth Proportional to 464.47, 695.49 and 326.77

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Solution

The fourth proportional to 464.47, 695.49 and 326.77 is: 489.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.47 : 695.49 = 326.77 : x
  2. Step 2: Convert to fraction form
    464.47/695.49 = 326.77/x
  3. Step 3: Cross multiply
    464.47x = 695.49 × 326.77
  4. Step 4: Simplify right side
    464.47x = 227,265.27
  5. Step 5: Solve for x
    x = 227,265.27/464.47
  6. Step 6: Final answer
    x = 489.30

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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.