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Finding the Fourth Proportional to 369.38, 509.73 and 214.13

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Solution

The fourth proportional to 369.38, 509.73 and 214.13 is: 295.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.38 : 509.73 = 214.13 : x
  2. Step 2: Convert to fraction form
    369.38/509.73 = 214.13/x
  3. Step 3: Cross multiply
    369.38x = 509.73 × 214.13
  4. Step 4: Simplify right side
    369.38x = 109,148.48
  5. Step 5: Solve for x
    x = 109,148.48/369.38
  6. Step 6: Final answer
    x = 295.49

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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.