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Finding the Fourth Proportional to 364.56, 503.27 and 233.79

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Solution

The fourth proportional to 364.56, 503.27 and 233.79 is: 322.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.56 : 503.27 = 233.79 : x
  2. Step 2: Convert to fraction form
    364.56/503.27 = 233.79/x
  3. Step 3: Cross multiply
    364.56x = 503.27 × 233.79
  4. Step 4: Simplify right side
    364.56x = 117,659.49
  5. Step 5: Solve for x
    x = 117,659.49/364.56
  6. Step 6: Final answer
    x = 322.74

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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.