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Finding the Fourth Proportional to 368.91, 508.92 and 213.57

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Solution

The fourth proportional to 368.91, 508.92 and 213.57 is: 294.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.91 : 508.92 = 213.57 : x
  2. Step 2: Convert to fraction form
    368.91/508.92 = 213.57/x
  3. Step 3: Cross multiply
    368.91x = 508.92 × 213.57
  4. Step 4: Simplify right side
    368.91x = 108,690.04
  5. Step 5: Solve for x
    x = 108,690.04/368.91
  6. Step 6: Final answer
    x = 294.62

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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.