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Finding the Fourth Proportional to 464.72, 696.80 and 233.08

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Solution

The fourth proportional to 464.72, 696.80 and 233.08 is: 349.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.72 : 696.80 = 233.08 : x
  2. Step 2: Convert to fraction form
    464.72/696.80 = 233.08/x
  3. Step 3: Cross multiply
    464.72x = 696.80 × 233.08
  4. Step 4: Simplify right side
    464.72x = 162,410.14
  5. Step 5: Solve for x
    x = 162,410.14/464.72
  6. Step 6: Final answer
    x = 349.48

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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.