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Finding the Fourth Proportional to 363.06, 501.08 and 215.69

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Solution

The fourth proportional to 363.06, 501.08 and 215.69 is: 297.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.06 : 501.08 = 215.69 : x
  2. Step 2: Convert to fraction form
    363.06/501.08 = 215.69/x
  3. Step 3: Cross multiply
    363.06x = 501.08 × 215.69
  4. Step 4: Simplify right side
    363.06x = 108,074.36
  5. Step 5: Solve for x
    x = 108,074.36/363.06
  6. Step 6: Final answer
    x = 297.68

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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.