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Finding the Fourth Proportional to 513.06, 708.70 and 380.56

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Solution

The fourth proportional to 513.06, 708.70 and 380.56 is: 525.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.06 : 708.70 = 380.56 : x
  2. Step 2: Convert to fraction form
    513.06/708.70 = 380.56/x
  3. Step 3: Cross multiply
    513.06x = 708.70 × 380.56
  4. Step 4: Simplify right side
    513.06x = 269,702.87
  5. Step 5: Solve for x
    x = 269,702.87/513.06
  6. Step 6: Final answer
    x = 525.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.