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Finding the Fourth Proportional to 503.48, 755.97 and 411.34

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Solution

The fourth proportional to 503.48, 755.97 and 411.34 is: 617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.48 : 755.97 = 411.34 : x
  2. Step 2: Convert to fraction form
    503.48/755.97 = 411.34/x
  3. Step 3: Cross multiply
    503.48x = 755.97 × 411.34
  4. Step 4: Simplify right side
    503.48x = 310,960.70
  5. Step 5: Solve for x
    x = 310,960.70/503.48
  6. Step 6: Final answer
    x = 617.62

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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.