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Finding the Fourth Proportional to 465.91, 642.13 and 382.75

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Solution

The fourth proportional to 465.91, 642.13 and 382.75 is: 527.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.91 : 642.13 = 382.75 : x
  2. Step 2: Convert to fraction form
    465.91/642.13 = 382.75/x
  3. Step 3: Cross multiply
    465.91x = 642.13 × 382.75
  4. Step 4: Simplify right side
    465.91x = 245,775.26
  5. Step 5: Solve for x
    x = 245,775.26/465.91
  6. Step 6: Final answer
    x = 527.52

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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.