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Finding the Fourth Proportional to 464.49, 696.47 and 247.95

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Solution

The fourth proportional to 464.49, 696.47 and 247.95 is: 371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.49 : 696.47 = 247.95 : x
  2. Step 2: Convert to fraction form
    464.49/696.47 = 247.95/x
  3. Step 3: Cross multiply
    464.49x = 696.47 × 247.95
  4. Step 4: Simplify right side
    464.49x = 172,688.50
  5. Step 5: Solve for x
    x = 172,688.50/464.49
  6. Step 6: Final answer
    x = 371.78

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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.