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Finding the Fourth Proportional to 369.06, 509.30 and 211.70

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Solution

The fourth proportional to 369.06, 509.30 and 211.70 is: 292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.06 : 509.30 = 211.70 : x
  2. Step 2: Convert to fraction form
    369.06/509.30 = 211.70/x
  3. Step 3: Cross multiply
    369.06x = 509.30 × 211.70
  4. Step 4: Simplify right side
    369.06x = 107,817.43
  5. Step 5: Solve for x
    x = 107,817.43/369.06
  6. Step 6: Final answer
    x = 292.14

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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.