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Finding the Fourth Proportional to 661.46, 991.31 and 430.22

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Solution

The fourth proportional to 661.46, 991.31 and 430.22 is: 644.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.46 : 991.31 = 430.22 : x
  2. Step 2: Convert to fraction form
    661.46/991.31 = 430.22/x
  3. Step 3: Cross multiply
    661.46x = 991.31 × 430.22
  4. Step 4: Simplify right side
    661.46x = 426,481.72
  5. Step 5: Solve for x
    x = 426,481.72/661.46
  6. Step 6: Final answer
    x = 644.76

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