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Finding the Fourth Proportional to 553.50, 763.83 and 378.95

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Solution

The fourth proportional to 553.50, 763.83 and 378.95 is: 522.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.50 : 763.83 = 378.95 : x
  2. Step 2: Convert to fraction form
    553.50/763.83 = 378.95/x
  3. Step 3: Cross multiply
    553.50x = 763.83 × 378.95
  4. Step 4: Simplify right side
    553.50x = 289,449.56
  5. Step 5: Solve for x
    x = 289,449.56/553.50
  6. Step 6: Final answer
    x = 522.94

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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.