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Finding the Fourth Proportional to 464.48, 696.26 and 233.03

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Solution

The fourth proportional to 464.48, 696.26 and 233.03 is: 349.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.48 : 696.26 = 233.03 : x
  2. Step 2: Convert to fraction form
    464.48/696.26 = 233.03/x
  3. Step 3: Cross multiply
    464.48x = 696.26 × 233.03
  4. Step 4: Simplify right side
    464.48x = 162,244.82
  5. Step 5: Solve for x
    x = 162,244.82/464.48
  6. Step 6: Final answer
    x = 349.31

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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.