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Finding the Fourth Proportional to 645.68, 968.51 and 206.93

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Solution

The fourth proportional to 645.68, 968.51 and 206.93 is: 310.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.68 : 968.51 = 206.93 : x
  2. Step 2: Convert to fraction form
    645.68/968.51 = 206.93/x
  3. Step 3: Cross multiply
    645.68x = 968.51 × 206.93
  4. Step 4: Simplify right side
    645.68x = 200,415.61
  5. Step 5: Solve for x
    x = 200,415.61/645.68
  6. Step 6: Final answer
    x = 310.39

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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.