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Finding the Fourth Proportional to 411.40, 617.34 and 194.98

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Solution

The fourth proportional to 411.40, 617.34 and 194.98 is: 292.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.40 : 617.34 = 194.98 : x
  2. Step 2: Convert to fraction form
    411.40/617.34 = 194.98/x
  3. Step 3: Cross multiply
    411.40x = 617.34 × 194.98
  4. Step 4: Simplify right side
    411.40x = 120,368.95
  5. Step 5: Solve for x
    x = 120,368.95/411.40
  6. Step 6: Final answer
    x = 292.58

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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.