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Finding the Fourth Proportional to 364.48, 502.86 and 217.14

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Solution

The fourth proportional to 364.48, 502.86 and 217.14 is: 299.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.48 : 502.86 = 217.14 : x
  2. Step 2: Convert to fraction form
    364.48/502.86 = 217.14/x
  3. Step 3: Cross multiply
    364.48x = 502.86 × 217.14
  4. Step 4: Simplify right side
    364.48x = 109,191.02
  5. Step 5: Solve for x
    x = 109,191.02/364.48
  6. Step 6: Final answer
    x = 299.58

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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.