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Finding the Fourth Proportional to 549.05, 825 and 413.37

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Solution

The fourth proportional to 549.05, 825 and 413.37 is: 621.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.05 : 825 = 413.37 : x
  2. Step 2: Convert to fraction form
    549.05/825 = 413.37/x
  3. Step 3: Cross multiply
    549.05x = 825 × 413.37
  4. Step 4: Simplify right side
    549.05x = 341,032.31
  5. Step 5: Solve for x
    x = 341,032.31/549.05
  6. Step 6: Final answer
    x = 621.13

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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.