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Finding the Fourth Proportional to 369.51, 509.89 and 214.23

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Solution

The fourth proportional to 369.51, 509.89 and 214.23 is: 295.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.51 : 509.89 = 214.23 : x
  2. Step 2: Convert to fraction form
    369.51/509.89 = 214.23/x
  3. Step 3: Cross multiply
    369.51x = 509.89 × 214.23
  4. Step 4: Simplify right side
    369.51x = 109,233.73
  5. Step 5: Solve for x
    x = 109,233.73/369.51
  6. Step 6: Final answer
    x = 295.62

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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.