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Finding the Fourth Proportional to 472.36, 652.49 and 363.19

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Solution

The fourth proportional to 472.36, 652.49 and 363.19 is: 501.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.36 : 652.49 = 363.19 : x
  2. Step 2: Convert to fraction form
    472.36/652.49 = 363.19/x
  3. Step 3: Cross multiply
    472.36x = 652.49 × 363.19
  4. Step 4: Simplify right side
    472.36x = 236,976.03
  5. Step 5: Solve for x
    x = 236,976.03/472.36
  6. Step 6: Final answer
    x = 501.69

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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.