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Finding the Fourth Proportional to 659.16, 986.67 and 350.64

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Solution

The fourth proportional to 659.16, 986.67 and 350.64 is: 524.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.16 : 986.67 = 350.64 : x
  2. Step 2: Convert to fraction form
    659.16/986.67 = 350.64/x
  3. Step 3: Cross multiply
    659.16x = 986.67 × 350.64
  4. Step 4: Simplify right side
    659.16x = 345,965.97
  5. Step 5: Solve for x
    x = 345,965.97/659.16
  6. Step 6: Final answer
    x = 524.86

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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.