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Finding the Fourth Proportional to 645.09, 966.77 and 315.52

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Solution

The fourth proportional to 645.09, 966.77 and 315.52 is: 472.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.09 : 966.77 = 315.52 : x
  2. Step 2: Convert to fraction form
    645.09/966.77 = 315.52/x
  3. Step 3: Cross multiply
    645.09x = 966.77 × 315.52
  4. Step 4: Simplify right side
    645.09x = 305,035.18
  5. Step 5: Solve for x
    x = 305,035.18/645.09
  6. Step 6: Final answer
    x = 472.86

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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.