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Finding the Fourth Proportional to 661.57, 992.47 and 271.55

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Solution

The fourth proportional to 661.57, 992.47 and 271.55 is: 407.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.57 : 992.47 = 271.55 : x
  2. Step 2: Convert to fraction form
    661.57/992.47 = 271.55/x
  3. Step 3: Cross multiply
    661.57x = 992.47 × 271.55
  4. Step 4: Simplify right side
    661.57x = 269,505.23
  5. Step 5: Solve for x
    x = 269,505.23/661.57
  6. Step 6: Final answer
    x = 407.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.