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Finding the Fourth Proportional to 511.73, 706.33 and 364.41

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Solution

The fourth proportional to 511.73, 706.33 and 364.41 is: 502.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.73 : 706.33 = 364.41 : x
  2. Step 2: Convert to fraction form
    511.73/706.33 = 364.41/x
  3. Step 3: Cross multiply
    511.73x = 706.33 × 364.41
  4. Step 4: Simplify right side
    511.73x = 257,393.72
  5. Step 5: Solve for x
    x = 257,393.72/511.73
  6. Step 6: Final answer
    x = 502.99

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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.