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Finding the Fourth Proportional to 681.80, 940.71 and 402.01

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Solution

The fourth proportional to 681.80, 940.71 and 402.01 is: 554.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.80 : 940.71 = 402.01 : x
  2. Step 2: Convert to fraction form
    681.80/940.71 = 402.01/x
  3. Step 3: Cross multiply
    681.80x = 940.71 × 402.01
  4. Step 4: Simplify right side
    681.80x = 378,173.98
  5. Step 5: Solve for x
    x = 378,173.98/681.80
  6. Step 6: Final answer
    x = 554.67

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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.