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Finding the Fourth Proportional to 551.88, 828.09 and 263.25

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Solution

The fourth proportional to 551.88, 828.09 and 263.25 is: 395.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.88 : 828.09 = 263.25 : x
  2. Step 2: Convert to fraction form
    551.88/828.09 = 263.25/x
  3. Step 3: Cross multiply
    551.88x = 828.09 × 263.25
  4. Step 4: Simplify right side
    551.88x = 217,994.69
  5. Step 5: Solve for x
    x = 217,994.69/551.88
  6. Step 6: Final answer
    x = 395.00

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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.