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Finding the Fourth Proportional to 364.05, 502.54 and 216.70

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Solution

The fourth proportional to 364.05, 502.54 and 216.70 is: 299.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.05 : 502.54 = 216.70 : x
  2. Step 2: Convert to fraction form
    364.05/502.54 = 216.70/x
  3. Step 3: Cross multiply
    364.05x = 502.54 × 216.70
  4. Step 4: Simplify right side
    364.05x = 108,900.42
  5. Step 5: Solve for x
    x = 108,900.42/364.05
  6. Step 6: Final answer
    x = 299.14

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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.