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Finding the Fourth Proportional to 369.31, 509.62 and 203.53

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Solution

The fourth proportional to 369.31, 509.62 and 203.53 is: 280.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.31 : 509.62 = 203.53 : x
  2. Step 2: Convert to fraction form
    369.31/509.62 = 203.53/x
  3. Step 3: Cross multiply
    369.31x = 509.62 × 203.53
  4. Step 4: Simplify right side
    369.31x = 103,721.18
  5. Step 5: Solve for x
    x = 103,721.18/369.31
  6. Step 6: Final answer
    x = 280.85

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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.