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Finding the Fourth Proportional to 464.41, 696.20 and 176.05

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Solution

The fourth proportional to 464.41, 696.20 and 176.05 is: 263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.41 : 696.20 = 176.05 : x
  2. Step 2: Convert to fraction form
    464.41/696.20 = 176.05/x
  3. Step 3: Cross multiply
    464.41x = 696.20 × 176.05
  4. Step 4: Simplify right side
    464.41x = 122,562.08
  5. Step 5: Solve for x
    x = 122,562.08/464.41
  6. Step 6: Final answer
    x = 263.91

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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.