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Finding the Fourth Proportional to 364.08, 502.32 and 216.75

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Solution

The fourth proportional to 364.08, 502.32 and 216.75 is: 299.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.08 : 502.32 = 216.75 : x
  2. Step 2: Convert to fraction form
    364.08/502.32 = 216.75/x
  3. Step 3: Cross multiply
    364.08x = 502.32 × 216.75
  4. Step 4: Simplify right side
    364.08x = 108,877.86
  5. Step 5: Solve for x
    x = 108,877.86/364.08
  6. Step 6: Final answer
    x = 299.05

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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.