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Finding the Fourth Proportional to 464.91, 697.43 and 190.95

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Solution

The fourth proportional to 464.91, 697.43 and 190.95 is: 286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.91 : 697.43 = 190.95 : x
  2. Step 2: Convert to fraction form
    464.91/697.43 = 190.95/x
  3. Step 3: Cross multiply
    464.91x = 697.43 × 190.95
  4. Step 4: Simplify right side
    464.91x = 133,174.26
  5. Step 5: Solve for x
    x = 133,174.26/464.91
  6. Step 6: Final answer
    x = 286.45

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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.