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Finding the Fourth Proportional to 480.31, 662.26 and 410.14

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Solution

The fourth proportional to 480.31, 662.26 and 410.14 is: 565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.31 : 662.26 = 410.14 : x
  2. Step 2: Convert to fraction form
    480.31/662.26 = 410.14/x
  3. Step 3: Cross multiply
    480.31x = 662.26 × 410.14
  4. Step 4: Simplify right side
    480.31x = 271,619.32
  5. Step 5: Solve for x
    x = 271,619.32/480.31
  6. Step 6: Final answer
    x = 565.51

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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.