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Finding the Fourth Proportional to 659.36, 988.76 and 269.10

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Solution

The fourth proportional to 659.36, 988.76 and 269.10 is: 403.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.36 : 988.76 = 269.10 : x
  2. Step 2: Convert to fraction form
    659.36/988.76 = 269.10/x
  3. Step 3: Cross multiply
    659.36x = 988.76 × 269.10
  4. Step 4: Simplify right side
    659.36x = 266,069.03
  5. Step 5: Solve for x
    x = 266,069.03/659.36
  6. Step 6: Final answer
    x = 403.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.