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Finding the Fourth Proportional to 369.30, 553.08 and 214.90

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Solution

The fourth proportional to 369.30, 553.08 and 214.90 is: 321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.30 : 553.08 = 214.90 : x
  2. Step 2: Convert to fraction form
    369.30/553.08 = 214.90/x
  3. Step 3: Cross multiply
    369.30x = 553.08 × 214.90
  4. Step 4: Simplify right side
    369.30x = 118,856.89
  5. Step 5: Solve for x
    x = 118,856.89/369.30
  6. Step 6: Final answer
    x = 321.84

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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.