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Finding the Fourth Proportional to 659.17, 988.53 and 269.11

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Solution

The fourth proportional to 659.17, 988.53 and 269.11 is: 403.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.17 : 988.53 = 269.11 : x
  2. Step 2: Convert to fraction form
    659.17/988.53 = 269.11/x
  3. Step 3: Cross multiply
    659.17x = 988.53 × 269.11
  4. Step 4: Simplify right side
    659.17x = 266,023.31
  5. Step 5: Solve for x
    x = 266,023.31/659.17
  6. Step 6: Final answer
    x = 403.57

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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.