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Finding the Fourth Proportional to 299.50, 446.66 and 278.98

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Solution

The fourth proportional to 299.50, 446.66 and 278.98 is: 416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.50 : 446.66 = 278.98 : x
  2. Step 2: Convert to fraction form
    299.50/446.66 = 278.98/x
  3. Step 3: Cross multiply
    299.50x = 446.66 × 278.98
  4. Step 4: Simplify right side
    299.50x = 124,609.21
  5. Step 5: Solve for x
    x = 124,609.21/299.50
  6. Step 6: Final answer
    x = 416.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.