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Finding the Fourth Proportional to 686.37, 946.49 and 476.79

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Solution

The fourth proportional to 686.37, 946.49 and 476.79 is: 657.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.37 : 946.49 = 476.79 : x
  2. Step 2: Convert to fraction form
    686.37/946.49 = 476.79/x
  3. Step 3: Cross multiply
    686.37x = 946.49 × 476.79
  4. Step 4: Simplify right side
    686.37x = 451,271.03
  5. Step 5: Solve for x
    x = 451,271.03/686.37
  6. Step 6: Final answer
    x = 657.47

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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.