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Finding the Fourth Proportional to 513.65, 768.91 and 415.24

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Solution

The fourth proportional to 513.65, 768.91 and 415.24 is: 621.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.65 : 768.91 = 415.24 : x
  2. Step 2: Convert to fraction form
    513.65/768.91 = 415.24/x
  3. Step 3: Cross multiply
    513.65x = 768.91 × 415.24
  4. Step 4: Simplify right side
    513.65x = 319,282.19
  5. Step 5: Solve for x
    x = 319,282.19/513.65
  6. Step 6: Final answer
    x = 621.59

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Why These Related Problems?

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