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Finding the Fourth Proportional to 513.44, 770.46 and 318.56

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Solution

The fourth proportional to 513.44, 770.46 and 318.56 is: 478.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.44 : 770.46 = 318.56 : x
  2. Step 2: Convert to fraction form
    513.44/770.46 = 318.56/x
  3. Step 3: Cross multiply
    513.44x = 770.46 × 318.56
  4. Step 4: Simplify right side
    513.44x = 245,437.74
  5. Step 5: Solve for x
    x = 245,437.74/513.44
  6. Step 6: Final answer
    x = 478.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.