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Finding the Fourth Proportional to 709.85, 980.08 and 444.40

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Solution

The fourth proportional to 709.85, 980.08 and 444.40 is: 613.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.85 : 980.08 = 444.40 : x
  2. Step 2: Convert to fraction form
    709.85/980.08 = 444.40/x
  3. Step 3: Cross multiply
    709.85x = 980.08 × 444.40
  4. Step 4: Simplify right side
    709.85x = 435,543.99
  5. Step 5: Solve for x
    x = 435,543.99/709.85
  6. Step 6: Final answer
    x = 613.57

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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.