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Finding the Fourth Proportional to 473.25, 653.17 and 452.50

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Solution

The fourth proportional to 473.25, 653.17 and 452.50 is: 624.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.25 : 653.17 = 452.50 : x
  2. Step 2: Convert to fraction form
    473.25/653.17 = 452.50/x
  3. Step 3: Cross multiply
    473.25x = 653.17 × 452.50
  4. Step 4: Simplify right side
    473.25x = 295,556.66
  5. Step 5: Solve for x
    x = 295,556.66/473.25
  6. Step 6: Final answer
    x = 624.53

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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.