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Finding the Fourth Proportional to 467.16, 644.69 and 257.33

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Solution

The fourth proportional to 467.16, 644.69 and 257.33 is: 355.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.16 : 644.69 = 257.33 : x
  2. Step 2: Convert to fraction form
    467.16/644.69 = 257.33/x
  3. Step 3: Cross multiply
    467.16x = 644.69 × 257.33
  4. Step 4: Simplify right side
    467.16x = 165,898.08
  5. Step 5: Solve for x
    x = 165,898.08/467.16
  6. Step 6: Final answer
    x = 355.12

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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.