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Finding the Fourth Proportional to 464.24, 640.64 and 259.58

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Solution

The fourth proportional to 464.24, 640.64 and 259.58 is: 358.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.24 : 640.64 = 259.58 : x
  2. Step 2: Convert to fraction form
    464.24/640.64 = 259.58/x
  3. Step 3: Cross multiply
    464.24x = 640.64 × 259.58
  4. Step 4: Simplify right side
    464.24x = 166,297.33
  5. Step 5: Solve for x
    x = 166,297.33/464.24
  6. Step 6: Final answer
    x = 358.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.