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Finding the Fourth Proportional to 464.71, 696.71 and 208.03

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Solution

The fourth proportional to 464.71, 696.71 and 208.03 is: 311.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.71 : 696.71 = 208.03 : x
  2. Step 2: Convert to fraction form
    464.71/696.71 = 208.03/x
  3. Step 3: Cross multiply
    464.71x = 696.71 × 208.03
  4. Step 4: Simplify right side
    464.71x = 144,936.41
  5. Step 5: Solve for x
    x = 144,936.41/464.71
  6. Step 6: Final answer
    x = 311.88

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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.