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Finding the Fourth Proportional to 513.96, 708.57 and 388.05

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Solution

The fourth proportional to 513.96, 708.57 and 388.05 is: 534.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.96 : 708.57 = 388.05 : x
  2. Step 2: Convert to fraction form
    513.96/708.57 = 388.05/x
  3. Step 3: Cross multiply
    513.96x = 708.57 × 388.05
  4. Step 4: Simplify right side
    513.96x = 274,960.59
  5. Step 5: Solve for x
    x = 274,960.59/513.96
  6. Step 6: Final answer
    x = 534.98

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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.