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Finding the Fourth Proportional to 467.16, 644.65 and 257.34

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Solution

The fourth proportional to 467.16, 644.65 and 257.34 is: 355.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.16 : 644.65 = 257.34 : x
  2. Step 2: Convert to fraction form
    467.16/644.65 = 257.34/x
  3. Step 3: Cross multiply
    467.16x = 644.65 × 257.34
  4. Step 4: Simplify right side
    467.16x = 165,894.23
  5. Step 5: Solve for x
    x = 165,894.23/467.16
  6. Step 6: Final answer
    x = 355.11

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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.