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Finding the Fourth Proportional to 310.32, 464.76 and 214.20

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Solution

The fourth proportional to 310.32, 464.76 and 214.20 is: 320.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.32 : 464.76 = 214.20 : x
  2. Step 2: Convert to fraction form
    310.32/464.76 = 214.20/x
  3. Step 3: Cross multiply
    310.32x = 464.76 × 214.20
  4. Step 4: Simplify right side
    310.32x = 99,551.59
  5. Step 5: Solve for x
    x = 99,551.59/310.32
  6. Step 6: Final answer
    x = 320.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.