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Finding the Fourth Proportional to 511.98, 705.20 and 364.34

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Solution

The fourth proportional to 511.98, 705.20 and 364.34 is: 501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.98 : 705.20 = 364.34 : x
  2. Step 2: Convert to fraction form
    511.98/705.20 = 364.34/x
  3. Step 3: Cross multiply
    511.98x = 705.20 × 364.34
  4. Step 4: Simplify right side
    511.98x = 256,932.57
  5. Step 5: Solve for x
    x = 256,932.57/511.98
  6. Step 6: Final answer
    x = 501.84

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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.