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Finding the Fourth Proportional to 645.05, 966.96 and 355.88

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Solution

The fourth proportional to 645.05, 966.96 and 355.88 is: 533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.05 : 966.96 = 355.88 : x
  2. Step 2: Convert to fraction form
    645.05/966.96 = 355.88/x
  3. Step 3: Cross multiply
    645.05x = 966.96 × 355.88
  4. Step 4: Simplify right side
    645.05x = 344,116.89
  5. Step 5: Solve for x
    x = 344,116.89/645.05
  6. Step 6: Final answer
    x = 533.48

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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.