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Finding the Fourth Proportional to 364.14, 502.32 and 216.64

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Solution

The fourth proportional to 364.14, 502.32 and 216.64 is: 298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.14 : 502.32 = 216.64 : x
  2. Step 2: Convert to fraction form
    364.14/502.32 = 216.64/x
  3. Step 3: Cross multiply
    364.14x = 502.32 × 216.64
  4. Step 4: Simplify right side
    364.14x = 108,822.60
  5. Step 5: Solve for x
    x = 108,822.60/364.14
  6. Step 6: Final answer
    x = 298.85

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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.