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Finding the Fourth Proportional to 465.78, 642.78 and 255.96

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Solution

The fourth proportional to 465.78, 642.78 and 255.96 is: 353.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.78 : 642.78 = 255.96 : x
  2. Step 2: Convert to fraction form
    465.78/642.78 = 255.96/x
  3. Step 3: Cross multiply
    465.78x = 642.78 × 255.96
  4. Step 4: Simplify right side
    465.78x = 164,525.25
  5. Step 5: Solve for x
    x = 164,525.25/465.78
  6. Step 6: Final answer
    x = 353.23

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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.