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Finding the Fourth Proportional to 628.24, 942.63 and 581.80

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Solution

The fourth proportional to 628.24, 942.63 and 581.80 is: 872.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.24 : 942.63 = 581.80 : x
  2. Step 2: Convert to fraction form
    628.24/942.63 = 581.80/x
  3. Step 3: Cross multiply
    628.24x = 942.63 × 581.80
  4. Step 4: Simplify right side
    628.24x = 548,422.13
  5. Step 5: Solve for x
    x = 548,422.13/628.24
  6. Step 6: Final answer
    x = 872.95

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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.