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Finding the Fourth Proportional to 464.27, 696.30 and 175.64

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Solution

The fourth proportional to 464.27, 696.30 and 175.64 is: 263.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.27 : 696.30 = 175.64 : x
  2. Step 2: Convert to fraction form
    464.27/696.30 = 175.64/x
  3. Step 3: Cross multiply
    464.27x = 696.30 × 175.64
  4. Step 4: Simplify right side
    464.27x = 122,298.13
  5. Step 5: Solve for x
    x = 122,298.13/464.27
  6. Step 6: Final answer
    x = 263.42

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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.