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Finding the Fourth Proportional to 413.64, 617.49 and 383.67

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Solution

The fourth proportional to 413.64, 617.49 and 383.67 is: 572.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.64 : 617.49 = 383.67 : x
  2. Step 2: Convert to fraction form
    413.64/617.49 = 383.67/x
  3. Step 3: Cross multiply
    413.64x = 617.49 × 383.67
  4. Step 4: Simplify right side
    413.64x = 236,912.39
  5. Step 5: Solve for x
    x = 236,912.39/413.64
  6. Step 6: Final answer
    x = 572.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.