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Finding the Fourth Proportional to 413.66, 569.42 and 330.14

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Solution

The fourth proportional to 413.66, 569.42 and 330.14 is: 454.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.66 : 569.42 = 330.14 : x
  2. Step 2: Convert to fraction form
    413.66/569.42 = 330.14/x
  3. Step 3: Cross multiply
    413.66x = 569.42 × 330.14
  4. Step 4: Simplify right side
    413.66x = 187,988.32
  5. Step 5: Solve for x
    x = 187,988.32/413.66
  6. Step 6: Final answer
    x = 454.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.