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Finding the Fourth Proportional to 364.12, 502.55 and 233.10

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Solution

The fourth proportional to 364.12, 502.55 and 233.10 is: 321.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.12 : 502.55 = 233.10 : x
  2. Step 2: Convert to fraction form
    364.12/502.55 = 233.10/x
  3. Step 3: Cross multiply
    364.12x = 502.55 × 233.10
  4. Step 4: Simplify right side
    364.12x = 117,144.41
  5. Step 5: Solve for x
    x = 117,144.41/364.12
  6. Step 6: Final answer
    x = 321.72

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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.