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Finding the Fourth Proportional to 464.23, 696.48 and 232.84

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Solution

The fourth proportional to 464.23, 696.48 and 232.84 is: 349.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.23 : 696.48 = 232.84 : x
  2. Step 2: Convert to fraction form
    464.23/696.48 = 232.84/x
  3. Step 3: Cross multiply
    464.23x = 696.48 × 232.84
  4. Step 4: Simplify right side
    464.23x = 162,167.24
  5. Step 5: Solve for x
    x = 162,167.24/464.23
  6. Step 6: Final answer
    x = 349.33

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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.