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Finding the Fourth Proportional to 505.51, 698.32 and 481.21

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Solution

The fourth proportional to 505.51, 698.32 and 481.21 is: 664.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.51 : 698.32 = 481.21 : x
  2. Step 2: Convert to fraction form
    505.51/698.32 = 481.21/x
  3. Step 3: Cross multiply
    505.51x = 698.32 × 481.21
  4. Step 4: Simplify right side
    505.51x = 336,038.57
  5. Step 5: Solve for x
    x = 336,038.57/505.51
  6. Step 6: Final answer
    x = 664.75

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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.