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Finding the Fourth Proportional to 711.30, 982.17 and 490.98

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Solution

The fourth proportional to 711.30, 982.17 and 490.98 is: 677.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.30 : 982.17 = 490.98 : x
  2. Step 2: Convert to fraction form
    711.30/982.17 = 490.98/x
  3. Step 3: Cross multiply
    711.30x = 982.17 × 490.98
  4. Step 4: Simplify right side
    711.30x = 482,225.83
  5. Step 5: Solve for x
    x = 482,225.83/711.30
  6. Step 6: Final answer
    x = 677.95

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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.