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Finding the Fourth Proportional to 651.27, 974.48 and 377.49

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Solution

The fourth proportional to 651.27, 974.48 and 377.49 is: 564.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.27 : 974.48 = 377.49 : x
  2. Step 2: Convert to fraction form
    651.27/974.48 = 377.49/x
  3. Step 3: Cross multiply
    651.27x = 974.48 × 377.49
  4. Step 4: Simplify right side
    651.27x = 367,854.57
  5. Step 5: Solve for x
    x = 367,854.57/651.27
  6. Step 6: Final answer
    x = 564.83

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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.