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Finding the Fourth Proportional to 708.25, 977.39 and 389.21

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Solution

The fourth proportional to 708.25, 977.39 and 389.21 is: 537.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.25 : 977.39 = 389.21 : x
  2. Step 2: Convert to fraction form
    708.25/977.39 = 389.21/x
  3. Step 3: Cross multiply
    708.25x = 977.39 × 389.21
  4. Step 4: Simplify right side
    708.25x = 380,406.79
  5. Step 5: Solve for x
    x = 380,406.79/708.25
  6. Step 6: Final answer
    x = 537.11

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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.