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Finding the Fourth Proportional to 369.17, 509.47 and 211.83

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Solution

The fourth proportional to 369.17, 509.47 and 211.83 is: 292.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.17 : 509.47 = 211.83 : x
  2. Step 2: Convert to fraction form
    369.17/509.47 = 211.83/x
  3. Step 3: Cross multiply
    369.17x = 509.47 × 211.83
  4. Step 4: Simplify right side
    369.17x = 107,918.48
  5. Step 5: Solve for x
    x = 107,918.48/369.17
  6. Step 6: Final answer
    x = 292.33

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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.