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Finding the Fourth Proportional to 473.69, 653.96 and 287.23

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Solution

The fourth proportional to 473.69, 653.96 and 287.23 is: 396.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.69 : 653.96 = 287.23 : x
  2. Step 2: Convert to fraction form
    473.69/653.96 = 287.23/x
  3. Step 3: Cross multiply
    473.69x = 653.96 × 287.23
  4. Step 4: Simplify right side
    473.69x = 187,836.93
  5. Step 5: Solve for x
    x = 187,836.93/473.69
  6. Step 6: Final answer
    x = 396.54

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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.