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Finding the Fourth Proportional to 466.78, 644.16 and 259.78

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Solution

The fourth proportional to 466.78, 644.16 and 259.78 is: 358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.78 : 644.16 = 259.78 : x
  2. Step 2: Convert to fraction form
    466.78/644.16 = 259.78/x
  3. Step 3: Cross multiply
    466.78x = 644.16 × 259.78
  4. Step 4: Simplify right side
    466.78x = 167,339.88
  5. Step 5: Solve for x
    x = 167,339.88/466.78
  6. Step 6: Final answer
    x = 358.50

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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.