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Finding the Fourth Proportional to 310.86, 466.83 and 214.74

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Solution

The fourth proportional to 310.86, 466.83 and 214.74 is: 322.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.86 : 466.83 = 214.74 : x
  2. Step 2: Convert to fraction form
    310.86/466.83 = 214.74/x
  3. Step 3: Cross multiply
    310.86x = 466.83 × 214.74
  4. Step 4: Simplify right side
    310.86x = 100,247.07
  5. Step 5: Solve for x
    x = 100,247.07/310.86
  6. Step 6: Final answer
    x = 322.48

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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.