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Finding the Fourth Proportional to 473.25, 653.06 and 263.41

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Solution

The fourth proportional to 473.25, 653.06 and 263.41 is: 363.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.25 : 653.06 = 263.41 : x
  2. Step 2: Convert to fraction form
    473.25/653.06 = 263.41/x
  3. Step 3: Cross multiply
    473.25x = 653.06 × 263.41
  4. Step 4: Simplify right side
    473.25x = 172,022.53
  5. Step 5: Solve for x
    x = 172,022.53/473.25
  6. Step 6: Final answer
    x = 363.49

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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.