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Finding the Fourth Proportional to 464.49, 697.07 and 190.83

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Solution

The fourth proportional to 464.49, 697.07 and 190.83 is: 286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.49 : 697.07 = 190.83 : x
  2. Step 2: Convert to fraction form
    464.49/697.07 = 190.83/x
  3. Step 3: Cross multiply
    464.49x = 697.07 × 190.83
  4. Step 4: Simplify right side
    464.49x = 133,020.91
  5. Step 5: Solve for x
    x = 133,020.91/464.49
  6. Step 6: Final answer
    x = 286.38

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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.