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Finding the Fourth Proportional to 513.75, 708.55 and 381.02

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Solution

The fourth proportional to 513.75, 708.55 and 381.02 is: 525.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.75 : 708.55 = 381.02 : x
  2. Step 2: Convert to fraction form
    513.75/708.55 = 381.02/x
  3. Step 3: Cross multiply
    513.75x = 708.55 × 381.02
  4. Step 4: Simplify right side
    513.75x = 269,968.65
  5. Step 5: Solve for x
    x = 269,968.65/513.75
  6. Step 6: Final answer
    x = 525.48

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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.