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Finding the Fourth Proportional to 364.96, 503.64 and 233.97

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Solution

The fourth proportional to 364.96, 503.64 and 233.97 is: 322.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.96 : 503.64 = 233.97 : x
  2. Step 2: Convert to fraction form
    364.96/503.64 = 233.97/x
  3. Step 3: Cross multiply
    364.96x = 503.64 × 233.97
  4. Step 4: Simplify right side
    364.96x = 117,835.64
  5. Step 5: Solve for x
    x = 117,835.64/364.96
  6. Step 6: Final answer
    x = 322.87

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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.