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Finding the Fourth Proportional to 413.04, 617.02 and 332.08

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Solution

The fourth proportional to 413.04, 617.02 and 332.08 is: 496.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.04 : 617.02 = 332.08 : x
  2. Step 2: Convert to fraction form
    413.04/617.02 = 332.08/x
  3. Step 3: Cross multiply
    413.04x = 617.02 × 332.08
  4. Step 4: Simplify right side
    413.04x = 204,900.00
  5. Step 5: Solve for x
    x = 204,900.00/413.04
  6. Step 6: Final answer
    x = 496.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.