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Finding the Fourth Proportional to 460.05, 689.49 and 199.74

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Solution

The fourth proportional to 460.05, 689.49 and 199.74 is: 299.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.05 : 689.49 = 199.74 : x
  2. Step 2: Convert to fraction form
    460.05/689.49 = 199.74/x
  3. Step 3: Cross multiply
    460.05x = 689.49 × 199.74
  4. Step 4: Simplify right side
    460.05x = 137,718.73
  5. Step 5: Solve for x
    x = 137,718.73/460.05
  6. Step 6: Final answer
    x = 299.36

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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.