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Finding the Fourth Proportional to 465.41, 642.07 and 288.33

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Solution

The fourth proportional to 465.41, 642.07 and 288.33 is: 397.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.41 : 642.07 = 288.33 : x
  2. Step 2: Convert to fraction form
    465.41/642.07 = 288.33/x
  3. Step 3: Cross multiply
    465.41x = 642.07 × 288.33
  4. Step 4: Simplify right side
    465.41x = 185,124.37
  5. Step 5: Solve for x
    x = 185,124.37/465.41
  6. Step 6: Final answer
    x = 397.76

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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.