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Finding the Fourth Proportional to 659.90, 991.25 and 416.59

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Solution

The fourth proportional to 659.90, 991.25 and 416.59 is: 625.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.90 : 991.25 = 416.59 : x
  2. Step 2: Convert to fraction form
    659.90/991.25 = 416.59/x
  3. Step 3: Cross multiply
    659.90x = 991.25 × 416.59
  4. Step 4: Simplify right side
    659.90x = 412,944.84
  5. Step 5: Solve for x
    x = 412,944.84/659.90
  6. Step 6: Final answer
    x = 625.77

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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.