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Finding the Fourth Proportional to 628.22, 942.45 and 281.57

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Solution

The fourth proportional to 628.22, 942.45 and 281.57 is: 422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.22 : 942.45 = 281.57 : x
  2. Step 2: Convert to fraction form
    628.22/942.45 = 281.57/x
  3. Step 3: Cross multiply
    628.22x = 942.45 × 281.57
  4. Step 4: Simplify right side
    628.22x = 265,360.93
  5. Step 5: Solve for x
    x = 265,360.93/628.22
  6. Step 6: Final answer
    x = 422.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.