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Finding the Fourth Proportional to 297.02, 444.60 and 214.70

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Solution

The fourth proportional to 297.02, 444.60 and 214.70 is: 321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.02 : 444.60 = 214.70 : x
  2. Step 2: Convert to fraction form
    297.02/444.60 = 214.70/x
  3. Step 3: Cross multiply
    297.02x = 444.60 × 214.70
  4. Step 4: Simplify right side
    297.02x = 95,455.62
  5. Step 5: Solve for x
    x = 95,455.62/297.02
  6. Step 6: Final answer
    x = 321.38

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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.