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Finding the Fourth Proportional to 464.86, 696.78 and 233.29

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Solution

The fourth proportional to 464.86, 696.78 and 233.29 is: 349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.86 : 696.78 = 233.29 : x
  2. Step 2: Convert to fraction form
    464.86/696.78 = 233.29/x
  3. Step 3: Cross multiply
    464.86x = 696.78 × 233.29
  4. Step 4: Simplify right side
    464.86x = 162,551.81
  5. Step 5: Solve for x
    x = 162,551.81/464.86
  6. Step 6: Final answer
    x = 349.68

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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.