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Finding the Fourth Proportional to 368.94, 509.32 and 213.66

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Solution

The fourth proportional to 368.94, 509.32 and 213.66 is: 294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.94 : 509.32 = 213.66 : x
  2. Step 2: Convert to fraction form
    368.94/509.32 = 213.66/x
  3. Step 3: Cross multiply
    368.94x = 509.32 × 213.66
  4. Step 4: Simplify right side
    368.94x = 108,821.31
  5. Step 5: Solve for x
    x = 108,821.31/368.94
  6. Step 6: Final answer
    x = 294.96

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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.