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Finding the Fourth Proportional to 464.63, 696.96 and 176.09

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Solution

The fourth proportional to 464.63, 696.96 and 176.09 is: 264.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.63 : 696.96 = 176.09 : x
  2. Step 2: Convert to fraction form
    464.63/696.96 = 176.09/x
  3. Step 3: Cross multiply
    464.63x = 696.96 × 176.09
  4. Step 4: Simplify right side
    464.63x = 122,724.20
  5. Step 5: Solve for x
    x = 122,724.20/464.63
  6. Step 6: Final answer
    x = 264.14

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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.