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Finding the Fourth Proportional to 662.50, 914.25 and 413.65

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Solution

The fourth proportional to 662.50, 914.25 and 413.65 is: 570.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.50 : 914.25 = 413.65 : x
  2. Step 2: Convert to fraction form
    662.50/914.25 = 413.65/x
  3. Step 3: Cross multiply
    662.50x = 914.25 × 413.65
  4. Step 4: Simplify right side
    662.50x = 378,179.51
  5. Step 5: Solve for x
    x = 378,179.51/662.50
  6. Step 6: Final answer
    x = 570.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.