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Finding the Fourth Proportional to 364.42, 502.77 and 217.03

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Solution

The fourth proportional to 364.42, 502.77 and 217.03 is: 299.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.42 : 502.77 = 217.03 : x
  2. Step 2: Convert to fraction form
    364.42/502.77 = 217.03/x
  3. Step 3: Cross multiply
    364.42x = 502.77 × 217.03
  4. Step 4: Simplify right side
    364.42x = 109,116.67
  5. Step 5: Solve for x
    x = 109,116.67/364.42
  6. Step 6: Final answer
    x = 299.43

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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.