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Finding the Fourth Proportional to 413.30, 615.98 and 395.99

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Solution

The fourth proportional to 413.30, 615.98 and 395.99 is: 590.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.30 : 615.98 = 395.99 : x
  2. Step 2: Convert to fraction form
    413.30/615.98 = 395.99/x
  3. Step 3: Cross multiply
    413.30x = 615.98 × 395.99
  4. Step 4: Simplify right side
    413.30x = 243,918.35
  5. Step 5: Solve for x
    x = 243,918.35/413.30
  6. Step 6: Final answer
    x = 590.18

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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.