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Finding the Fourth Proportional to 645.39, 968.10 and 414.39

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Solution

The fourth proportional to 645.39, 968.10 and 414.39 is: 621.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.39 : 968.10 = 414.39 : x
  2. Step 2: Convert to fraction form
    645.39/968.10 = 414.39/x
  3. Step 3: Cross multiply
    645.39x = 968.10 × 414.39
  4. Step 4: Simplify right side
    645.39x = 401,170.96
  5. Step 5: Solve for x
    x = 401,170.96/645.39
  6. Step 6: Final answer
    x = 621.59

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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.