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Finding the Fourth Proportional to 661.62, 991.71 and 353.16

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Solution

The fourth proportional to 661.62, 991.71 and 353.16 is: 529.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.62 : 991.71 = 353.16 : x
  2. Step 2: Convert to fraction form
    661.62/991.71 = 353.16/x
  3. Step 3: Cross multiply
    661.62x = 991.71 × 353.16
  4. Step 4: Simplify right side
    661.62x = 350,232.30
  5. Step 5: Solve for x
    x = 350,232.30/661.62
  6. Step 6: Final answer
    x = 529.36

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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.