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Finding the Fourth Proportional to 369.26, 553.83 and 214.70

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Solution

The fourth proportional to 369.26, 553.83 and 214.70 is: 322.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.26 : 553.83 = 214.70 : x
  2. Step 2: Convert to fraction form
    369.26/553.83 = 214.70/x
  3. Step 3: Cross multiply
    369.26x = 553.83 × 214.70
  4. Step 4: Simplify right side
    369.26x = 118,907.30
  5. Step 5: Solve for x
    x = 118,907.30/369.26
  6. Step 6: Final answer
    x = 322.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.