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Finding the Fourth Proportional to 711.75, 982.17 and 417

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Solution

The fourth proportional to 711.75, 982.17 and 417 is: 575.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.75 : 982.17 = 417 : x
  2. Step 2: Convert to fraction form
    711.75/982.17 = 417/x
  3. Step 3: Cross multiply
    711.75x = 982.17 × 417
  4. Step 4: Simplify right side
    711.75x = 409,564.89
  5. Step 5: Solve for x
    x = 409,564.89/711.75
  6. Step 6: Final answer
    x = 575.43

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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.