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Finding the Fourth Proportional to 435.40, 651.90 and 413.80

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Solution

The fourth proportional to 435.40, 651.90 and 413.80 is: 619.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.40 : 651.90 = 413.80 : x
  2. Step 2: Convert to fraction form
    435.40/651.90 = 413.80/x
  3. Step 3: Cross multiply
    435.40x = 651.90 × 413.80
  4. Step 4: Simplify right side
    435.40x = 269,756.22
  5. Step 5: Solve for x
    x = 269,756.22/435.40
  6. Step 6: Final answer
    x = 619.56

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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.