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Finding the Fourth Proportional to 513.47, 708.65 and 289.49

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Solution

The fourth proportional to 513.47, 708.65 and 289.49 is: 399.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.47 : 708.65 = 289.49 : x
  2. Step 2: Convert to fraction form
    513.47/708.65 = 289.49/x
  3. Step 3: Cross multiply
    513.47x = 708.65 × 289.49
  4. Step 4: Simplify right side
    513.47x = 205,147.09
  5. Step 5: Solve for x
    x = 205,147.09/513.47
  6. Step 6: Final answer
    x = 399.53

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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.