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Finding the Fourth Proportional to 362.77, 500.44 and 215.30

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Solution

The fourth proportional to 362.77, 500.44 and 215.30 is: 297.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.77 : 500.44 = 215.30 : x
  2. Step 2: Convert to fraction form
    362.77/500.44 = 215.30/x
  3. Step 3: Cross multiply
    362.77x = 500.44 × 215.30
  4. Step 4: Simplify right side
    362.77x = 107,744.73
  5. Step 5: Solve for x
    x = 107,744.73/362.77
  6. Step 6: Final answer
    x = 297.01

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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.