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Finding the Fourth Proportional to 464.53, 697.14 and 233.36

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Solution

The fourth proportional to 464.53, 697.14 and 233.36 is: 350.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.53 : 697.14 = 233.36 : x
  2. Step 2: Convert to fraction form
    464.53/697.14 = 233.36/x
  3. Step 3: Cross multiply
    464.53x = 697.14 × 233.36
  4. Step 4: Simplify right side
    464.53x = 162,684.59
  5. Step 5: Solve for x
    x = 162,684.59/464.53
  6. Step 6: Final answer
    x = 350.21

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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.