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Finding the Fourth Proportional to 368.96, 509 and 213.62

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Solution

The fourth proportional to 368.96, 509 and 213.62 is: 294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.96 : 509 = 213.62 : x
  2. Step 2: Convert to fraction form
    368.96/509 = 213.62/x
  3. Step 3: Cross multiply
    368.96x = 509 × 213.62
  4. Step 4: Simplify right side
    368.96x = 108,732.58
  5. Step 5: Solve for x
    x = 108,732.58/368.96
  6. Step 6: Final answer
    x = 294.70

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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.