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Finding the Fourth Proportional to 626.47, 865.19 and 428.22

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Solution

The fourth proportional to 626.47, 865.19 and 428.22 is: 591.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.47 : 865.19 = 428.22 : x
  2. Step 2: Convert to fraction form
    626.47/865.19 = 428.22/x
  3. Step 3: Cross multiply
    626.47x = 865.19 × 428.22
  4. Step 4: Simplify right side
    626.47x = 370,488.80
  5. Step 5: Solve for x
    x = 370,488.80/626.47
  6. Step 6: Final answer
    x = 591.39

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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.