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Finding the Fourth Proportional to 464.83, 697.52 and 176.29

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Solution

The fourth proportional to 464.83, 697.52 and 176.29 is: 264.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.83 : 697.52 = 176.29 : x
  2. Step 2: Convert to fraction form
    464.83/697.52 = 176.29/x
  3. Step 3: Cross multiply
    464.83x = 697.52 × 176.29
  4. Step 4: Simplify right side
    464.83x = 122,964.92
  5. Step 5: Solve for x
    x = 122,964.92/464.83
  6. Step 6: Final answer
    x = 264.54

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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.