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Finding the Fourth Proportional to 413.59, 620.53 and 275.33

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Solution

The fourth proportional to 413.59, 620.53 and 275.33 is: 413.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.59 : 620.53 = 275.33 : x
  2. Step 2: Convert to fraction form
    413.59/620.53 = 275.33/x
  3. Step 3: Cross multiply
    413.59x = 620.53 × 275.33
  4. Step 4: Simplify right side
    413.59x = 170,848.28
  5. Step 5: Solve for x
    x = 170,848.28/413.59
  6. Step 6: Final answer
    x = 413.08

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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.