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Finding the Fourth Proportional to 481.90, 665.68 and 429.66

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Solution

The fourth proportional to 481.90, 665.68 and 429.66 is: 593.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.90 : 665.68 = 429.66 : x
  2. Step 2: Convert to fraction form
    481.90/665.68 = 429.66/x
  3. Step 3: Cross multiply
    481.90x = 665.68 × 429.66
  4. Step 4: Simplify right side
    481.90x = 286,016.07
  5. Step 5: Solve for x
    x = 286,016.07/481.90
  6. Step 6: Final answer
    x = 593.52

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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.