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Finding the Fourth Proportional to 413.89, 619.91 and 283.58

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Solution

The fourth proportional to 413.89, 619.91 and 283.58 is: 424.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.89 : 619.91 = 283.58 : x
  2. Step 2: Convert to fraction form
    413.89/619.91 = 283.58/x
  3. Step 3: Cross multiply
    413.89x = 619.91 × 283.58
  4. Step 4: Simplify right side
    413.89x = 175,794.08
  5. Step 5: Solve for x
    x = 175,794.08/413.89
  6. Step 6: Final answer
    x = 424.74

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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.