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Finding the Fourth Proportional to 483.98, 726.21 and 356.78

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Solution

The fourth proportional to 483.98, 726.21 and 356.78 is: 535.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.98 : 726.21 = 356.78 : x
  2. Step 2: Convert to fraction form
    483.98/726.21 = 356.78/x
  3. Step 3: Cross multiply
    483.98x = 726.21 × 356.78
  4. Step 4: Simplify right side
    483.98x = 259,097.20
  5. Step 5: Solve for x
    x = 259,097.20/483.98
  6. Step 6: Final answer
    x = 535.35

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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.