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Finding the Fourth Proportional to 364.30, 502.76 and 214.96

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Solution

The fourth proportional to 364.30, 502.76 and 214.96 is: 296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.30 : 502.76 = 214.96 : x
  2. Step 2: Convert to fraction form
    364.30/502.76 = 214.96/x
  3. Step 3: Cross multiply
    364.30x = 502.76 × 214.96
  4. Step 4: Simplify right side
    364.30x = 108,073.29
  5. Step 5: Solve for x
    x = 108,073.29/364.30
  6. Step 6: Final answer
    x = 296.66

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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.