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Finding the Fourth Proportional to 628.47, 942.14 and 299.21

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Solution

The fourth proportional to 628.47, 942.14 and 299.21 is: 448.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.47 : 942.14 = 299.21 : x
  2. Step 2: Convert to fraction form
    628.47/942.14 = 299.21/x
  3. Step 3: Cross multiply
    628.47x = 942.14 × 299.21
  4. Step 4: Simplify right side
    628.47x = 281,893.00
  5. Step 5: Solve for x
    x = 281,893.00/628.47
  6. Step 6: Final answer
    x = 448.54

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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.