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Finding the Fourth Proportional to 480.26, 661.03 and 410.09

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Solution

The fourth proportional to 480.26, 661.03 and 410.09 is: 564.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.26 : 661.03 = 410.09 : x
  2. Step 2: Convert to fraction form
    480.26/661.03 = 410.09/x
  3. Step 3: Cross multiply
    480.26x = 661.03 × 410.09
  4. Step 4: Simplify right side
    480.26x = 271,077.46
  5. Step 5: Solve for x
    x = 271,077.46/480.26
  6. Step 6: Final answer
    x = 564.44

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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.