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Finding the Fourth Proportional to 628.70, 943.05 and 446.45

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Solution

The fourth proportional to 628.70, 943.05 and 446.45 is: 669.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.70 : 943.05 = 446.45 : x
  2. Step 2: Convert to fraction form
    628.70/943.05 = 446.45/x
  3. Step 3: Cross multiply
    628.70x = 943.05 × 446.45
  4. Step 4: Simplify right side
    628.70x = 421,024.67
  5. Step 5: Solve for x
    x = 421,024.67/628.70
  6. Step 6: Final answer
    x = 669.68

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