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Finding the Fourth Proportional to 818.16, 1,226.67 and 355.70

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Solution

The fourth proportional to 818.16, 1,226.67 and 355.70 is: 533.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.16 : 1,226.67 = 355.70 : x
  2. Step 2: Convert to fraction form
    818.16/1,226.67 = 355.70/x
  3. Step 3: Cross multiply
    818.16x = 1,226.67 × 355.70
  4. Step 4: Simplify right side
    818.16x = 436,326.52
  5. Step 5: Solve for x
    x = 436,326.52/818.16
  6. Step 6: Final answer
    x = 533.30

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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.