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Finding the Fourth Proportional to 549.70, 825.35 and 413.70

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Solution

The fourth proportional to 549.70, 825.35 and 413.70 is: 621.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.70 : 825.35 = 413.70 : x
  2. Step 2: Convert to fraction form
    549.70/825.35 = 413.70/x
  3. Step 3: Cross multiply
    549.70x = 825.35 × 413.70
  4. Step 4: Simplify right side
    549.70x = 341,447.30
  5. Step 5: Solve for x
    x = 341,447.30/549.70
  6. Step 6: Final answer
    x = 621.15

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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.