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Finding the Fourth Proportional to 681.84, 941.10 and 402.09

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Solution

The fourth proportional to 681.84, 941.10 and 402.09 is: 554.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.84 : 941.10 = 402.09 : x
  2. Step 2: Convert to fraction form
    681.84/941.10 = 402.09/x
  3. Step 3: Cross multiply
    681.84x = 941.10 × 402.09
  4. Step 4: Simplify right side
    681.84x = 378,406.90
  5. Step 5: Solve for x
    x = 378,406.90/681.84
  6. Step 6: Final answer
    x = 554.98

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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.