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Finding the Fourth Proportional to 464.20, 696.10 and 175.44

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Solution

The fourth proportional to 464.20, 696.10 and 175.44 is: 263.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.20 : 696.10 = 175.44 : x
  2. Step 2: Convert to fraction form
    464.20/696.10 = 175.44/x
  3. Step 3: Cross multiply
    464.20x = 696.10 × 175.44
  4. Step 4: Simplify right side
    464.20x = 122,123.78
  5. Step 5: Solve for x
    x = 122,123.78/464.20
  6. Step 6: Final answer
    x = 263.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.