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Finding the Fourth Proportional to 464.12, 696.28 and 207.62

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Solution

The fourth proportional to 464.12, 696.28 and 207.62 is: 311.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.12 : 696.28 = 207.62 : x
  2. Step 2: Convert to fraction form
    464.12/696.28 = 207.62/x
  3. Step 3: Cross multiply
    464.12x = 696.28 × 207.62
  4. Step 4: Simplify right side
    464.12x = 144,561.65
  5. Step 5: Solve for x
    x = 144,561.65/464.12
  6. Step 6: Final answer
    x = 311.47

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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.