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Finding the Fourth Proportional to 365.17, 503.80 and 232.35

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Solution

The fourth proportional to 365.17, 503.80 and 232.35 is: 320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.17 : 503.80 = 232.35 : x
  2. Step 2: Convert to fraction form
    365.17/503.80 = 232.35/x
  3. Step 3: Cross multiply
    365.17x = 503.80 × 232.35
  4. Step 4: Simplify right side
    365.17x = 117,057.93
  5. Step 5: Solve for x
    x = 117,057.93/365.17
  6. Step 6: Final answer
    x = 320.56

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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.