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Finding the Fourth Proportional to 464.37, 697.01 and 221.06

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Solution

The fourth proportional to 464.37, 697.01 and 221.06 is: 331.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.37 : 697.01 = 221.06 : x
  2. Step 2: Convert to fraction form
    464.37/697.01 = 221.06/x
  3. Step 3: Cross multiply
    464.37x = 697.01 × 221.06
  4. Step 4: Simplify right side
    464.37x = 154,081.67
  5. Step 5: Solve for x
    x = 154,081.67/464.37
  6. Step 6: Final answer
    x = 331.81

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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.