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Finding the Fourth Proportional to 464.14, 696.22 and 175.42

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Solution

The fourth proportional to 464.14, 696.22 and 175.42 is: 263.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.14 : 696.22 = 175.42 : x
  2. Step 2: Convert to fraction form
    464.14/696.22 = 175.42/x
  3. Step 3: Cross multiply
    464.14x = 696.22 × 175.42
  4. Step 4: Simplify right side
    464.14x = 122,130.91
  5. Step 5: Solve for x
    x = 122,130.91/464.14
  6. Step 6: Final answer
    x = 263.13

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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.