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Finding the Fourth Proportional to 464.72, 696.81 and 176

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Solution

The fourth proportional to 464.72, 696.81 and 176 is: 263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.72 : 696.81 = 176 : x
  2. Step 2: Convert to fraction form
    464.72/696.81 = 176/x
  3. Step 3: Cross multiply
    464.72x = 696.81 × 176
  4. Step 4: Simplify right side
    464.72x = 122,638.56
  5. Step 5: Solve for x
    x = 122,638.56/464.72
  6. Step 6: Final answer
    x = 263.90

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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.