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Finding the Fourth Proportional to 659.82, 989.67 and 275.07

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Solution

The fourth proportional to 659.82, 989.67 and 275.07 is: 412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.82 : 989.67 = 275.07 : x
  2. Step 2: Convert to fraction form
    659.82/989.67 = 275.07/x
  3. Step 3: Cross multiply
    659.82x = 989.67 × 275.07
  4. Step 4: Simplify right side
    659.82x = 272,225.85
  5. Step 5: Solve for x
    x = 272,225.85/659.82
  6. Step 6: Final answer
    x = 412.58

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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.