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Finding the Fourth Proportional to 413.23, 619.86 and 297.35

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Solution

The fourth proportional to 413.23, 619.86 and 297.35 is: 446.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.23 : 619.86 = 297.35 : x
  2. Step 2: Convert to fraction form
    413.23/619.86 = 297.35/x
  3. Step 3: Cross multiply
    413.23x = 619.86 × 297.35
  4. Step 4: Simplify right side
    413.23x = 184,315.37
  5. Step 5: Solve for x
    x = 184,315.37/413.23
  6. Step 6: Final answer
    x = 446.04

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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.