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Finding the Fourth Proportional to 818.84, 1,228.28 and 331.78

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Solution

The fourth proportional to 818.84, 1,228.28 and 331.78 is: 497.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.84 : 1,228.28 = 331.78 : x
  2. Step 2: Convert to fraction form
    818.84/1,228.28 = 331.78/x
  3. Step 3: Cross multiply
    818.84x = 1,228.28 × 331.78
  4. Step 4: Simplify right side
    818.84x = 407,518.61
  5. Step 5: Solve for x
    x = 407,518.61/818.84
  6. Step 6: Final answer
    x = 497.68

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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.