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Finding the Fourth Proportional to 662.25, 912.87 and 505.51

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Solution

The fourth proportional to 662.25, 912.87 and 505.51 is: 696.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.25 : 912.87 = 505.51 : x
  2. Step 2: Convert to fraction form
    662.25/912.87 = 505.51/x
  3. Step 3: Cross multiply
    662.25x = 912.87 × 505.51
  4. Step 4: Simplify right side
    662.25x = 461,464.91
  5. Step 5: Solve for x
    x = 461,464.91/662.25
  6. Step 6: Final answer
    x = 696.81

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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.