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Finding the Fourth Proportional to 465.54, 642.42 and 255.71

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Solution

The fourth proportional to 465.54, 642.42 and 255.71 is: 352.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.54 : 642.42 = 255.71 : x
  2. Step 2: Convert to fraction form
    465.54/642.42 = 255.71/x
  3. Step 3: Cross multiply
    465.54x = 642.42 × 255.71
  4. Step 4: Simplify right side
    465.54x = 164,270.65
  5. Step 5: Solve for x
    x = 164,270.65/465.54
  6. Step 6: Final answer
    x = 352.86

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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.