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Finding the Fourth Proportional to 473.39, 653.31 and 263.60

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Solution

The fourth proportional to 473.39, 653.31 and 263.60 is: 363.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.39 : 653.31 = 263.60 : x
  2. Step 2: Convert to fraction form
    473.39/653.31 = 263.60/x
  3. Step 3: Cross multiply
    473.39x = 653.31 × 263.60
  4. Step 4: Simplify right side
    473.39x = 172,212.52
  5. Step 5: Solve for x
    x = 172,212.52/473.39
  6. Step 6: Final answer
    x = 363.79

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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.