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Finding the Fourth Proportional to 448.60, 618.84 and 413.05

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Solution

The fourth proportional to 448.60, 618.84 and 413.05 is: 569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.60 : 618.84 = 413.05 : x
  2. Step 2: Convert to fraction form
    448.60/618.84 = 413.05/x
  3. Step 3: Cross multiply
    448.60x = 618.84 × 413.05
  4. Step 4: Simplify right side
    448.60x = 255,611.86
  5. Step 5: Solve for x
    x = 255,611.86/448.60
  6. Step 6: Final answer
    x = 569.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.