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Finding the Fourth Proportional to 518.04, 716.24 and 495.09

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Solution

The fourth proportional to 518.04, 716.24 and 495.09 is: 684.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.04 : 716.24 = 495.09 : x
  2. Step 2: Convert to fraction form
    518.04/716.24 = 495.09/x
  3. Step 3: Cross multiply
    518.04x = 716.24 × 495.09
  4. Step 4: Simplify right side
    518.04x = 354,603.26
  5. Step 5: Solve for x
    x = 354,603.26/518.04
  6. Step 6: Final answer
    x = 684.51

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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.