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Finding the Fourth Proportional to 413.64, 619.32 and 298.20

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Solution

The fourth proportional to 413.64, 619.32 and 298.20 is: 446.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.64 : 619.32 = 298.20 : x
  2. Step 2: Convert to fraction form
    413.64/619.32 = 298.20/x
  3. Step 3: Cross multiply
    413.64x = 619.32 × 298.20
  4. Step 4: Simplify right side
    413.64x = 184,681.22
  5. Step 5: Solve for x
    x = 184,681.22/413.64
  6. Step 6: Final answer
    x = 446.48

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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.