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Finding the Fourth Proportional to 467.16, 644.73 and 257.38

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Solution

The fourth proportional to 467.16, 644.73 and 257.38 is: 355.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.16 : 644.73 = 257.38 : x
  2. Step 2: Convert to fraction form
    467.16/644.73 = 257.38/x
  3. Step 3: Cross multiply
    467.16x = 644.73 × 257.38
  4. Step 4: Simplify right side
    467.16x = 165,941.66
  5. Step 5: Solve for x
    x = 165,941.66/467.16
  6. Step 6: Final answer
    x = 355.21

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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.