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Finding the Fourth Proportional to 551.36, 826.08 and 407.36

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Solution

The fourth proportional to 551.36, 826.08 and 407.36 is: 610.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.36 : 826.08 = 407.36 : x
  2. Step 2: Convert to fraction form
    551.36/826.08 = 407.36/x
  3. Step 3: Cross multiply
    551.36x = 826.08 × 407.36
  4. Step 4: Simplify right side
    551.36x = 336,511.95
  5. Step 5: Solve for x
    x = 336,511.95/551.36
  6. Step 6: Final answer
    x = 610.33

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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.