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Finding the Fourth Proportional to 365.06, 503.31 and 217.64

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Solution

The fourth proportional to 365.06, 503.31 and 217.64 is: 300.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.06 : 503.31 = 217.64 : x
  2. Step 2: Convert to fraction form
    365.06/503.31 = 217.64/x
  3. Step 3: Cross multiply
    365.06x = 503.31 × 217.64
  4. Step 4: Simplify right side
    365.06x = 109,537.87
  5. Step 5: Solve for x
    x = 109,537.87/365.06
  6. Step 6: Final answer
    x = 300.06

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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.