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Finding the Fourth Proportional to 553.98, 828.69 and 455.37

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Solution

The fourth proportional to 553.98, 828.69 and 455.37 is: 681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.98 : 828.69 = 455.37 : x
  2. Step 2: Convert to fraction form
    553.98/828.69 = 455.37/x
  3. Step 3: Cross multiply
    553.98x = 828.69 × 455.37
  4. Step 4: Simplify right side
    553.98x = 377,360.57
  5. Step 5: Solve for x
    x = 377,360.57/553.98
  6. Step 6: Final answer
    x = 681.18

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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.