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Finding the Fourth Proportional to 413.32, 619.02 and 406.64

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Solution

The fourth proportional to 413.32, 619.02 and 406.64 is: 609.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.32 : 619.02 = 406.64 : x
  2. Step 2: Convert to fraction form
    413.32/619.02 = 406.64/x
  3. Step 3: Cross multiply
    413.32x = 619.02 × 406.64
  4. Step 4: Simplify right side
    413.32x = 251,718.29
  5. Step 5: Solve for x
    x = 251,718.29/413.32
  6. Step 6: Final answer
    x = 609.02

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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.