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Finding the Fourth Proportional to 551.51, 826.21 and 277.28

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Solution

The fourth proportional to 551.51, 826.21 and 277.28 is: 415.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.51 : 826.21 = 277.28 : x
  2. Step 2: Convert to fraction form
    551.51/826.21 = 277.28/x
  3. Step 3: Cross multiply
    551.51x = 826.21 × 277.28
  4. Step 4: Simplify right side
    551.51x = 229,091.51
  5. Step 5: Solve for x
    x = 229,091.51/551.51
  6. Step 6: Final answer
    x = 415.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.