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Finding the Fourth Proportional to 473.25, 653.09 and 286.68

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Solution

The fourth proportional to 473.25, 653.09 and 286.68 is: 395.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.25 : 653.09 = 286.68 : x
  2. Step 2: Convert to fraction form
    473.25/653.09 = 286.68/x
  3. Step 3: Cross multiply
    473.25x = 653.09 × 286.68
  4. Step 4: Simplify right side
    473.25x = 187,227.84
  5. Step 5: Solve for x
    x = 187,227.84/473.25
  6. Step 6: Final answer
    x = 395.62

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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.