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Finding the Fourth Proportional to 628.26, 942.54 and 537.54

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Solution

The fourth proportional to 628.26, 942.54 and 537.54 is: 806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.26 : 942.54 = 537.54 : x
  2. Step 2: Convert to fraction form
    628.26/942.54 = 537.54/x
  3. Step 3: Cross multiply
    628.26x = 942.54 × 537.54
  4. Step 4: Simplify right side
    628.26x = 506,652.95
  5. Step 5: Solve for x
    x = 506,652.95/628.26
  6. Step 6: Final answer
    x = 806.44

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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.