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Finding the Fourth Proportional to 364.34, 502.52 and 216.96

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Solution

The fourth proportional to 364.34, 502.52 and 216.96 is: 299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.34 : 502.52 = 216.96 : x
  2. Step 2: Convert to fraction form
    364.34/502.52 = 216.96/x
  3. Step 3: Cross multiply
    364.34x = 502.52 × 216.96
  4. Step 4: Simplify right side
    364.34x = 109,025.65
  5. Step 5: Solve for x
    x = 109,025.65/364.34
  6. Step 6: Final answer
    x = 299.25

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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.