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Finding the Fourth Proportional to 818.05, 1,226.84 and 355.72

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Solution

The fourth proportional to 818.05, 1,226.84 and 355.72 is: 533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.05 : 1,226.84 = 355.72 : x
  2. Step 2: Convert to fraction form
    818.05/1,226.84 = 355.72/x
  3. Step 3: Cross multiply
    818.05x = 1,226.84 × 355.72
  4. Step 4: Simplify right side
    818.05x = 436,409.75
  5. Step 5: Solve for x
    x = 436,409.75/818.05
  6. Step 6: Final answer
    x = 533.48

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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.