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Finding the Fourth Proportional to 628.98, 942.54 and 446.73

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Solution

The fourth proportional to 628.98, 942.54 and 446.73 is: 669.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.98 : 942.54 = 446.73 : x
  2. Step 2: Convert to fraction form
    628.98/942.54 = 446.73/x
  3. Step 3: Cross multiply
    628.98x = 942.54 × 446.73
  4. Step 4: Simplify right side
    628.98x = 421,060.89
  5. Step 5: Solve for x
    x = 421,060.89/628.98
  6. Step 6: Final answer
    x = 669.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.