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Finding the Fourth Proportional to 686.19, 946.94 and 371.46

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Solution

The fourth proportional to 686.19, 946.94 and 371.46 is: 512.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.19 : 946.94 = 371.46 : x
  2. Step 2: Convert to fraction form
    686.19/946.94 = 371.46/x
  3. Step 3: Cross multiply
    686.19x = 946.94 × 371.46
  4. Step 4: Simplify right side
    686.19x = 351,749.50
  5. Step 5: Solve for x
    x = 351,749.50/686.19
  6. Step 6: Final answer
    x = 512.61

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