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Finding the Fourth Proportional to 464.93, 697.89 and 191.21

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Solution

The fourth proportional to 464.93, 697.89 and 191.21 is: 287.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.93 : 697.89 = 191.21 : x
  2. Step 2: Convert to fraction form
    464.93/697.89 = 191.21/x
  3. Step 3: Cross multiply
    464.93x = 697.89 × 191.21
  4. Step 4: Simplify right side
    464.93x = 133,440.06
  5. Step 5: Solve for x
    x = 133,440.06/464.93
  6. Step 6: Final answer
    x = 287.01

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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.