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Finding the Fourth Proportional to 365, 503.70 and 217.66

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Solution

The fourth proportional to 365, 503.70 and 217.66 is: 300.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    365 : 503.70 = 217.66 : x
  2. Step 2: Convert to fraction form
    365/503.70 = 217.66/x
  3. Step 3: Cross multiply
    365x = 503.70 × 217.66
  4. Step 4: Simplify right side
    365x = 109,635.34
  5. Step 5: Solve for x
    x = 109,635.34/365
  6. Step 6: Final answer
    x = 300.37

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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.