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Finding the Fourth Proportional to 711.08, 980.60 and 431.36

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Solution

The fourth proportional to 711.08, 980.60 and 431.36 is: 594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.08 : 980.60 = 431.36 : x
  2. Step 2: Convert to fraction form
    711.08/980.60 = 431.36/x
  3. Step 3: Cross multiply
    711.08x = 980.60 × 431.36
  4. Step 4: Simplify right side
    711.08x = 422,984.56
  5. Step 5: Solve for x
    x = 422,984.56/711.08
  6. Step 6: Final answer
    x = 594.85

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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.