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Finding the Fourth Proportional to 818.71, 1,228.27 and 299

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Solution

The fourth proportional to 818.71, 1,228.27 and 299 is: 448.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.71 : 1,228.27 = 299 : x
  2. Step 2: Convert to fraction form
    818.71/1,228.27 = 299/x
  3. Step 3: Cross multiply
    818.71x = 1,228.27 × 299
  4. Step 4: Simplify right side
    818.71x = 367,252.73
  5. Step 5: Solve for x
    x = 367,252.73/818.71
  6. Step 6: Final answer
    x = 448.57

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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.