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Finding the Fourth Proportional to 628.10, 942.38 and 420.71

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Solution

The fourth proportional to 628.10, 942.38 and 420.71 is: 631.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.10 : 942.38 = 420.71 : x
  2. Step 2: Convert to fraction form
    628.10/942.38 = 420.71/x
  3. Step 3: Cross multiply
    628.10x = 942.38 × 420.71
  4. Step 4: Simplify right side
    628.10x = 396,467.57
  5. Step 5: Solve for x
    x = 396,467.57/628.10
  6. Step 6: Final answer
    x = 631.22

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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.