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Finding the Fourth Proportional to 310.63, 429.03 and 206.95

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Solution

The fourth proportional to 310.63, 429.03 and 206.95 is: 285.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.63 : 429.03 = 206.95 : x
  2. Step 2: Convert to fraction form
    310.63/429.03 = 206.95/x
  3. Step 3: Cross multiply
    310.63x = 429.03 × 206.95
  4. Step 4: Simplify right side
    310.63x = 88,787.76
  5. Step 5: Solve for x
    x = 88,787.76/310.63
  6. Step 6: Final answer
    x = 285.83

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Why These Related Problems?

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