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Finding the Fourth Proportional to 310.83, 429.02 and 212.63

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Solution

The fourth proportional to 310.83, 429.02 and 212.63 is: 293.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.83 : 429.02 = 212.63 : x
  2. Step 2: Convert to fraction form
    310.83/429.02 = 212.63/x
  3. Step 3: Cross multiply
    310.83x = 429.02 × 212.63
  4. Step 4: Simplify right side
    310.83x = 91,219.31
  5. Step 5: Solve for x
    x = 91,219.31/310.83
  6. Step 6: Final answer
    x = 293.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.