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Finding the Fourth Proportional to 513.74, 770.55 and 205.58

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Solution

The fourth proportional to 513.74, 770.55 and 205.58 is: 308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.74 : 770.55 = 205.58 : x
  2. Step 2: Convert to fraction form
    513.74/770.55 = 205.58/x
  3. Step 3: Cross multiply
    513.74x = 770.55 × 205.58
  4. Step 4: Simplify right side
    513.74x = 158,409.67
  5. Step 5: Solve for x
    x = 158,409.67/513.74
  6. Step 6: Final answer
    x = 308.35

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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.