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Finding the Fourth Proportional to 473.37, 652.86 and 363.09

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Solution

The fourth proportional to 473.37, 652.86 and 363.09 is: 500.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.37 : 652.86 = 363.09 : x
  2. Step 2: Convert to fraction form
    473.37/652.86 = 363.09/x
  3. Step 3: Cross multiply
    473.37x = 652.86 × 363.09
  4. Step 4: Simplify right side
    473.37x = 237,046.94
  5. Step 5: Solve for x
    x = 237,046.94/473.37
  6. Step 6: Final answer
    x = 500.76

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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.