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Finding the Fourth Proportional to 437.58, 655.17 and 298.99

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Solution

The fourth proportional to 437.58, 655.17 and 298.99 is: 447.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.58 : 655.17 = 298.99 : x
  2. Step 2: Convert to fraction form
    437.58/655.17 = 298.99/x
  3. Step 3: Cross multiply
    437.58x = 655.17 × 298.99
  4. Step 4: Simplify right side
    437.58x = 195,891.68
  5. Step 5: Solve for x
    x = 195,891.68/437.58
  6. Step 6: Final answer
    x = 447.67

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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.