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Finding the Fourth Proportional to 310.62, 466.20 and 214.50

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Solution

The fourth proportional to 310.62, 466.20 and 214.50 is: 321.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.62 : 466.20 = 214.50 : x
  2. Step 2: Convert to fraction form
    310.62/466.20 = 214.50/x
  3. Step 3: Cross multiply
    310.62x = 466.20 × 214.50
  4. Step 4: Simplify right side
    310.62x = 99,999.90
  5. Step 5: Solve for x
    x = 99,999.90/310.62
  6. Step 6: Final answer
    x = 321.94

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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.