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Finding the Fourth Proportional to 661.37, 991.04 and 296.06

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Solution

The fourth proportional to 661.37, 991.04 and 296.06 is: 443.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.37 : 991.04 = 296.06 : x
  2. Step 2: Convert to fraction form
    661.37/991.04 = 296.06/x
  3. Step 3: Cross multiply
    661.37x = 991.04 × 296.06
  4. Step 4: Simplify right side
    661.37x = 293,400.87
  5. Step 5: Solve for x
    x = 293,400.87/661.37
  6. Step 6: Final answer
    x = 443.63

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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.