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Finding the Fourth Proportional to 686.29, 946.24 and 476.64

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Solution

The fourth proportional to 686.29, 946.24 and 476.64 is: 657.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.29 : 946.24 = 476.64 : x
  2. Step 2: Convert to fraction form
    686.29/946.24 = 476.64/x
  3. Step 3: Cross multiply
    686.29x = 946.24 × 476.64
  4. Step 4: Simplify right side
    686.29x = 451,015.83
  5. Step 5: Solve for x
    x = 451,015.83/686.29
  6. Step 6: Final answer
    x = 657.18

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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.