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Finding the Fourth Proportional to 708.27, 977.32 and 393.49

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Solution

The fourth proportional to 708.27, 977.32 and 393.49 is: 542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.27 : 977.32 = 393.49 : x
  2. Step 2: Convert to fraction form
    708.27/977.32 = 393.49/x
  3. Step 3: Cross multiply
    708.27x = 977.32 × 393.49
  4. Step 4: Simplify right side
    708.27x = 384,563.09
  5. Step 5: Solve for x
    x = 384,563.09/708.27
  6. Step 6: Final answer
    x = 542.96

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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.