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Finding the Fourth Proportional to 299.96, 450.16 and 297.70

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Solution

The fourth proportional to 299.96, 450.16 and 297.70 is: 446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.96 : 450.16 = 297.70 : x
  2. Step 2: Convert to fraction form
    299.96/450.16 = 297.70/x
  3. Step 3: Cross multiply
    299.96x = 450.16 × 297.70
  4. Step 4: Simplify right side
    299.96x = 134,012.63
  5. Step 5: Solve for x
    x = 134,012.63/299.96
  6. Step 6: Final answer
    x = 446.77

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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.