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Finding the Fourth Proportional to 413.04, 615.96 and 361.20

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Solution

The fourth proportional to 413.04, 615.96 and 361.20 is: 538.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.04 : 615.96 = 361.20 : x
  2. Step 2: Convert to fraction form
    413.04/615.96 = 361.20/x
  3. Step 3: Cross multiply
    413.04x = 615.96 × 361.20
  4. Step 4: Simplify right side
    413.04x = 222,484.75
  5. Step 5: Solve for x
    x = 222,484.75/413.04
  6. Step 6: Final answer
    x = 538.65

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Why These Related Problems?

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