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Finding the Fourth Proportional to 473.94, 655.20 and 454.68

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Solution

The fourth proportional to 473.94, 655.20 and 454.68 is: 628.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.94 : 655.20 = 454.68 : x
  2. Step 2: Convert to fraction form
    473.94/655.20 = 454.68/x
  3. Step 3: Cross multiply
    473.94x = 655.20 × 454.68
  4. Step 4: Simplify right side
    473.94x = 297,906.34
  5. Step 5: Solve for x
    x = 297,906.34/473.94
  6. Step 6: Final answer
    x = 628.57

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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.