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Finding the Fourth Proportional to 480.69, 661.90 and 441.22

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Solution

The fourth proportional to 480.69, 661.90 and 441.22 is: 607.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.69 : 661.90 = 441.22 : x
  2. Step 2: Convert to fraction form
    480.69/661.90 = 441.22/x
  3. Step 3: Cross multiply
    480.69x = 661.90 × 441.22
  4. Step 4: Simplify right side
    480.69x = 292,043.52
  5. Step 5: Solve for x
    x = 292,043.52/480.69
  6. Step 6: Final answer
    x = 607.55

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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.