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Finding the Fourth Proportional to 364.55, 502.80 and 231.81

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Solution

The fourth proportional to 364.55, 502.80 and 231.81 is: 319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.55 : 502.80 = 231.81 : x
  2. Step 2: Convert to fraction form
    364.55/502.80 = 231.81/x
  3. Step 3: Cross multiply
    364.55x = 502.80 × 231.81
  4. Step 4: Simplify right side
    364.55x = 116,554.07
  5. Step 5: Solve for x
    x = 116,554.07/364.55
  6. Step 6: Final answer
    x = 319.72

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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.