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Finding the Fourth Proportional to 628.56, 942.06 and 281.40

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Solution

The fourth proportional to 628.56, 942.06 and 281.40 is: 421.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.56 : 942.06 = 281.40 : x
  2. Step 2: Convert to fraction form
    628.56/942.06 = 281.40/x
  3. Step 3: Cross multiply
    628.56x = 942.06 × 281.40
  4. Step 4: Simplify right side
    628.56x = 265,095.68
  5. Step 5: Solve for x
    x = 265,095.68/628.56
  6. Step 6: Final answer
    x = 421.75

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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.