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Finding the Fourth Proportional to 413.79, 620.36 and 283.40

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Solution

The fourth proportional to 413.79, 620.36 and 283.40 is: 424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.79 : 620.36 = 283.40 : x
  2. Step 2: Convert to fraction form
    413.79/620.36 = 283.40/x
  3. Step 3: Cross multiply
    413.79x = 620.36 × 283.40
  4. Step 4: Simplify right side
    413.79x = 175,810.49
  5. Step 5: Solve for x
    x = 175,810.49/413.79
  6. Step 6: Final answer
    x = 424.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.