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Finding the Fourth Proportional to 364.09, 502.23 and 216.64

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Solution

The fourth proportional to 364.09, 502.23 and 216.64 is: 298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.09 : 502.23 = 216.64 : x
  2. Step 2: Convert to fraction form
    364.09/502.23 = 216.64/x
  3. Step 3: Cross multiply
    364.09x = 502.23 × 216.64
  4. Step 4: Simplify right side
    364.09x = 108,803.11
  5. Step 5: Solve for x
    x = 108,803.11/364.09
  6. Step 6: Final answer
    x = 298.84

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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.