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Finding the Fourth Proportional to 413.06, 619.77 and 156.50

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Solution

The fourth proportional to 413.06, 619.77 and 156.50 is: 234.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.06 : 619.77 = 156.50 : x
  2. Step 2: Convert to fraction form
    413.06/619.77 = 156.50/x
  3. Step 3: Cross multiply
    413.06x = 619.77 × 156.50
  4. Step 4: Simplify right side
    413.06x = 96,994.01
  5. Step 5: Solve for x
    x = 96,994.01/413.06
  6. Step 6: Final answer
    x = 234.82

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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.