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Finding the Fourth Proportional to 662.30, 914.09 and 504.69

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Solution

The fourth proportional to 662.30, 914.09 and 504.69 is: 696.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.30 : 914.09 = 504.69 : x
  2. Step 2: Convert to fraction form
    662.30/914.09 = 504.69/x
  3. Step 3: Cross multiply
    662.30x = 914.09 × 504.69
  4. Step 4: Simplify right side
    662.30x = 461,332.08
  5. Step 5: Solve for x
    x = 461,332.08/662.30
  6. Step 6: Final answer
    x = 696.56

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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.