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Finding the Fourth Proportional to 713.11, 983.86 and 418.37

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Solution

The fourth proportional to 713.11, 983.86 and 418.37 is: 577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.11 : 983.86 = 418.37 : x
  2. Step 2: Convert to fraction form
    713.11/983.86 = 418.37/x
  3. Step 3: Cross multiply
    713.11x = 983.86 × 418.37
  4. Step 4: Simplify right side
    713.11x = 411,617.51
  5. Step 5: Solve for x
    x = 411,617.51/713.11
  6. Step 6: Final answer
    x = 577.21

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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.