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Finding the Fourth Proportional to 465.29, 642.10 and 255.47

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Solution

The fourth proportional to 465.29, 642.10 and 255.47 is: 352.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.29 : 642.10 = 255.47 : x
  2. Step 2: Convert to fraction form
    465.29/642.10 = 255.47/x
  3. Step 3: Cross multiply
    465.29x = 642.10 × 255.47
  4. Step 4: Simplify right side
    465.29x = 164,037.29
  5. Step 5: Solve for x
    x = 164,037.29/465.29
  6. Step 6: Final answer
    x = 352.55

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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.