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Finding the Fourth Proportional to 686.57, 946.77 and 450.05

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Solution

The fourth proportional to 686.57, 946.77 and 450.05 is: 620.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.57 : 946.77 = 450.05 : x
  2. Step 2: Convert to fraction form
    686.57/946.77 = 450.05/x
  3. Step 3: Cross multiply
    686.57x = 946.77 × 450.05
  4. Step 4: Simplify right side
    686.57x = 426,093.84
  5. Step 5: Solve for x
    x = 426,093.84/686.57
  6. Step 6: Final answer
    x = 620.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.