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Finding the Fourth Proportional to 513.53, 770.56 and 235.89

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Solution

The fourth proportional to 513.53, 770.56 and 235.89 is: 353.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.53 : 770.56 = 235.89 : x
  2. Step 2: Convert to fraction form
    513.53/770.56 = 235.89/x
  3. Step 3: Cross multiply
    513.53x = 770.56 × 235.89
  4. Step 4: Simplify right side
    513.53x = 181,766.81
  5. Step 5: Solve for x
    x = 181,766.81/513.53
  6. Step 6: Final answer
    x = 353.95

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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.