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Finding the Fourth Proportional to 713.05, 984.08 and 418.31

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Solution

The fourth proportional to 713.05, 984.08 and 418.31 is: 577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.05 : 984.08 = 418.31 : x
  2. Step 2: Convert to fraction form
    713.05/984.08 = 418.31/x
  3. Step 3: Cross multiply
    713.05x = 984.08 × 418.31
  4. Step 4: Simplify right side
    713.05x = 411,643.49
  5. Step 5: Solve for x
    x = 411,643.49/713.05
  6. Step 6: Final answer
    x = 577.30

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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.