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Finding the Fourth Proportional to 464.12, 696.46 and 175.48

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Solution

The fourth proportional to 464.12, 696.46 and 175.48 is: 263.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.12 : 696.46 = 175.48 : x
  2. Step 2: Convert to fraction form
    464.12/696.46 = 175.48/x
  3. Step 3: Cross multiply
    464.12x = 696.46 × 175.48
  4. Step 4: Simplify right side
    464.12x = 122,214.80
  5. Step 5: Solve for x
    x = 122,214.80/464.12
  6. Step 6: Final answer
    x = 263.33

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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.