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Finding the Fourth Proportional to 505.92, 699.62 and 484.19

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Solution

The fourth proportional to 505.92, 699.62 and 484.19 is: 669.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.92 : 699.62 = 484.19 : x
  2. Step 2: Convert to fraction form
    505.92/699.62 = 484.19/x
  3. Step 3: Cross multiply
    505.92x = 699.62 × 484.19
  4. Step 4: Simplify right side
    505.92x = 338,743.09
  5. Step 5: Solve for x
    x = 338,743.09/505.92
  6. Step 6: Final answer
    x = 669.56

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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.