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Finding the Fourth Proportional to 686.17, 946.92 and 424.09

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Solution

The fourth proportional to 686.17, 946.92 and 424.09 is: 585.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.17 : 946.92 = 424.09 : x
  2. Step 2: Convert to fraction form
    686.17/946.92 = 424.09/x
  3. Step 3: Cross multiply
    686.17x = 946.92 × 424.09
  4. Step 4: Simplify right side
    686.17x = 401,579.30
  5. Step 5: Solve for x
    x = 401,579.30/686.17
  6. Step 6: Final answer
    x = 585.25

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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.