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Finding the Fourth Proportional to 661.14, 989.58 and 352.22

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Solution

The fourth proportional to 661.14, 989.58 and 352.22 is: 527.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.14 : 989.58 = 352.22 : x
  2. Step 2: Convert to fraction form
    661.14/989.58 = 352.22/x
  3. Step 3: Cross multiply
    661.14x = 989.58 × 352.22
  4. Step 4: Simplify right side
    661.14x = 348,549.87
  5. Step 5: Solve for x
    x = 348,549.87/661.14
  6. Step 6: Final answer
    x = 527.20

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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.