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Finding the Fourth Proportional to 686.24, 946.49 and 476.42

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Solution

The fourth proportional to 686.24, 946.49 and 476.42 is: 657.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.24 : 946.49 = 476.42 : x
  2. Step 2: Convert to fraction form
    686.24/946.49 = 476.42/x
  3. Step 3: Cross multiply
    686.24x = 946.49 × 476.42
  4. Step 4: Simplify right side
    686.24x = 450,919.65
  5. Step 5: Solve for x
    x = 450,919.65/686.24
  6. Step 6: Final answer
    x = 657.09

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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.