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Finding the Fourth Proportional to 661.33, 992 and 271.52

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Solution

The fourth proportional to 661.33, 992 and 271.52 is: 407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.33 : 992 = 271.52 : x
  2. Step 2: Convert to fraction form
    661.33/992 = 271.52/x
  3. Step 3: Cross multiply
    661.33x = 992 × 271.52
  4. Step 4: Simplify right side
    661.33x = 269,347.84
  5. Step 5: Solve for x
    x = 269,347.84/661.33
  6. Step 6: Final answer
    x = 407.28

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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.