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Finding the Fourth Proportional to 310.72, 466 and 214.24

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Solution

The fourth proportional to 310.72, 466 and 214.24 is: 321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.72 : 466 = 214.24 : x
  2. Step 2: Convert to fraction form
    310.72/466 = 214.24/x
  3. Step 3: Cross multiply
    310.72x = 466 × 214.24
  4. Step 4: Simplify right side
    310.72x = 99,835.84
  5. Step 5: Solve for x
    x = 99,835.84/310.72
  6. Step 6: Final answer
    x = 321.30

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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.