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Finding the Fourth Proportional to 661.34, 991.72 and 353.14

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Solution

The fourth proportional to 661.34, 991.72 and 353.14 is: 529.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.34 : 991.72 = 353.14 : x
  2. Step 2: Convert to fraction form
    661.34/991.72 = 353.14/x
  3. Step 3: Cross multiply
    661.34x = 991.72 × 353.14
  4. Step 4: Simplify right side
    661.34x = 350,209.28
  5. Step 5: Solve for x
    x = 350,209.28/661.34
  6. Step 6: Final answer
    x = 529.54

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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.