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Finding the Fourth Proportional to 419.74, 581.69 and 413.87

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Solution

The fourth proportional to 419.74, 581.69 and 413.87 is: 573.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.74 : 581.69 = 413.87 : x
  2. Step 2: Convert to fraction form
    419.74/581.69 = 413.87/x
  3. Step 3: Cross multiply
    419.74x = 581.69 × 413.87
  4. Step 4: Simplify right side
    419.74x = 240,742.17
  5. Step 5: Solve for x
    x = 240,742.17/419.74
  6. Step 6: Final answer
    x = 573.55

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.