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Finding the Fourth Proportional to 464.78, 696.86 and 190.80

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Solution

The fourth proportional to 464.78, 696.86 and 190.80 is: 286.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.78 : 696.86 = 190.80 : x
  2. Step 2: Convert to fraction form
    464.78/696.86 = 190.80/x
  3. Step 3: Cross multiply
    464.78x = 696.86 × 190.80
  4. Step 4: Simplify right side
    464.78x = 132,957.40
  5. Step 5: Solve for x
    x = 132,957.40/464.78
  6. Step 6: Final answer
    x = 286.07

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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.