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Finding the Fourth Proportional to 626.47, 863.94 and 469.48

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Solution

The fourth proportional to 626.47, 863.94 and 469.48 is: 647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.47 : 863.94 = 469.48 : x
  2. Step 2: Convert to fraction form
    626.47/863.94 = 469.48/x
  3. Step 3: Cross multiply
    626.47x = 863.94 × 469.48
  4. Step 4: Simplify right side
    626.47x = 405,602.55
  5. Step 5: Solve for x
    x = 405,602.55/626.47
  6. Step 6: Final answer
    x = 647.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.