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Finding the Fourth Proportional to 659.14, 986.58 and 350.22

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Solution

The fourth proportional to 659.14, 986.58 and 350.22 is: 524.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.14 : 986.58 = 350.22 : x
  2. Step 2: Convert to fraction form
    659.14/986.58 = 350.22/x
  3. Step 3: Cross multiply
    659.14x = 986.58 × 350.22
  4. Step 4: Simplify right side
    659.14x = 345,523.75
  5. Step 5: Solve for x
    x = 345,523.75/659.14
  6. Step 6: Final answer
    x = 524.21

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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.