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Finding the Fourth Proportional to 413.85, 570.44 and 380.74

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Solution

The fourth proportional to 413.85, 570.44 and 380.74 is: 524.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.85 : 570.44 = 380.74 : x
  2. Step 2: Convert to fraction form
    413.85/570.44 = 380.74/x
  3. Step 3: Cross multiply
    413.85x = 570.44 × 380.74
  4. Step 4: Simplify right side
    413.85x = 217,186.47
  5. Step 5: Solve for x
    x = 217,186.47/413.85
  6. Step 6: Final answer
    x = 524.80

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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.