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Finding the Fourth Proportional to 659.10, 989.10 and 366.60

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Solution

The fourth proportional to 659.10, 989.10 and 366.60 is: 550.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.10 : 989.10 = 366.60 : x
  2. Step 2: Convert to fraction form
    659.10/989.10 = 366.60/x
  3. Step 3: Cross multiply
    659.10x = 989.10 × 366.60
  4. Step 4: Simplify right side
    659.10x = 362,604.06
  5. Step 5: Solve for x
    x = 362,604.06/659.10
  6. Step 6: Final answer
    x = 550.15

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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.