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Finding the Fourth Proportional to 513.54, 708.68 and 289.46

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Solution

The fourth proportional to 513.54, 708.68 and 289.46 is: 399.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.54 : 708.68 = 289.46 : x
  2. Step 2: Convert to fraction form
    513.54/708.68 = 289.46/x
  3. Step 3: Cross multiply
    513.54x = 708.68 × 289.46
  4. Step 4: Simplify right side
    513.54x = 205,134.51
  5. Step 5: Solve for x
    x = 205,134.51/513.54
  6. Step 6: Final answer
    x = 399.45

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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.