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Finding the Fourth Proportional to 628.76, 943.32 and 466.76

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Solution

The fourth proportional to 628.76, 943.32 and 466.76 is: 700.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.76 : 943.32 = 466.76 : x
  2. Step 2: Convert to fraction form
    628.76/943.32 = 466.76/x
  3. Step 3: Cross multiply
    628.76x = 943.32 × 466.76
  4. Step 4: Simplify right side
    628.76x = 440,304.04
  5. Step 5: Solve for x
    x = 440,304.04/628.76
  6. Step 6: Final answer
    x = 700.27

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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.