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Finding the Fourth Proportional to 464.98, 697.46 and 190.88

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Solution

The fourth proportional to 464.98, 697.46 and 190.88 is: 286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.98 : 697.46 = 190.88 : x
  2. Step 2: Convert to fraction form
    464.98/697.46 = 190.88/x
  3. Step 3: Cross multiply
    464.98x = 697.46 × 190.88
  4. Step 4: Simplify right side
    464.98x = 133,131.16
  5. Step 5: Solve for x
    x = 133,131.16/464.98
  6. Step 6: Final answer
    x = 286.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.