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Finding the Fourth Proportional to 464.98, 697.01 and 233.53

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Solution

The fourth proportional to 464.98, 697.01 and 233.53 is: 350.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.98 : 697.01 = 233.53 : x
  2. Step 2: Convert to fraction form
    464.98/697.01 = 233.53/x
  3. Step 3: Cross multiply
    464.98x = 697.01 × 233.53
  4. Step 4: Simplify right side
    464.98x = 162,768.09
  5. Step 5: Solve for x
    x = 162,768.09/464.98
  6. Step 6: Final answer
    x = 350.06

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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.