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Finding the Fourth Proportional to 662.02, 913.42 and 504.61

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Solution

The fourth proportional to 662.02, 913.42 and 504.61 is: 696.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.02 : 913.42 = 504.61 : x
  2. Step 2: Convert to fraction form
    662.02/913.42 = 504.61/x
  3. Step 3: Cross multiply
    662.02x = 913.42 × 504.61
  4. Step 4: Simplify right side
    662.02x = 460,919.21
  5. Step 5: Solve for x
    x = 460,919.21/662.02
  6. Step 6: Final answer
    x = 696.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.