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Finding the Fourth Proportional to 563.32, 779.51 and 480.29

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Solution

The fourth proportional to 563.32, 779.51 and 480.29 is: 664.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.32 : 779.51 = 480.29 : x
  2. Step 2: Convert to fraction form
    563.32/779.51 = 480.29/x
  3. Step 3: Cross multiply
    563.32x = 779.51 × 480.29
  4. Step 4: Simplify right side
    563.32x = 374,388.46
  5. Step 5: Solve for x
    x = 374,388.46/563.32
  6. Step 6: Final answer
    x = 664.62

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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.