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Finding the Fourth Proportional to 628.64, 944.02 and 446.70

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Solution

The fourth proportional to 628.64, 944.02 and 446.70 is: 670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.64 : 944.02 = 446.70 : x
  2. Step 2: Convert to fraction form
    628.64/944.02 = 446.70/x
  3. Step 3: Cross multiply
    628.64x = 944.02 × 446.70
  4. Step 4: Simplify right side
    628.64x = 421,693.73
  5. Step 5: Solve for x
    x = 421,693.73/628.64
  6. Step 6: Final answer
    x = 670.80

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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.