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Finding the Fourth Proportional to 628.09, 942.29 and 299.14

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Solution

The fourth proportional to 628.09, 942.29 and 299.14 is: 448.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.09 : 942.29 = 299.14 : x
  2. Step 2: Convert to fraction form
    628.09/942.29 = 299.14/x
  3. Step 3: Cross multiply
    628.09x = 942.29 × 299.14
  4. Step 4: Simplify right side
    628.09x = 281,870.42
  5. Step 5: Solve for x
    x = 281,870.42/628.09
  6. Step 6: Final answer
    x = 448.78

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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.