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Finding the Fourth Proportional to 364.60, 502.86 and 233.65

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Solution

The fourth proportional to 364.60, 502.86 and 233.65 is: 322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.60 : 502.86 = 233.65 : x
  2. Step 2: Convert to fraction form
    364.60/502.86 = 233.65/x
  3. Step 3: Cross multiply
    364.60x = 502.86 × 233.65
  4. Step 4: Simplify right side
    364.60x = 117,493.24
  5. Step 5: Solve for x
    x = 117,493.24/364.60
  6. Step 6: Final answer
    x = 322.25

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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.