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Finding the Fourth Proportional to 659.29, 908.97 and 511.67

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Solution

The fourth proportional to 659.29, 908.97 and 511.67 is: 705.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.29 : 908.97 = 511.67 : x
  2. Step 2: Convert to fraction form
    659.29/908.97 = 511.67/x
  3. Step 3: Cross multiply
    659.29x = 908.97 × 511.67
  4. Step 4: Simplify right side
    659.29x = 465,090.80
  5. Step 5: Solve for x
    x = 465,090.80/659.29
  6. Step 6: Final answer
    x = 705.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.