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Finding the Fourth Proportional to 692.63, 955.79 and 393.83

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Solution

The fourth proportional to 692.63, 955.79 and 393.83 is: 543.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.63 : 955.79 = 393.83 : x
  2. Step 2: Convert to fraction form
    692.63/955.79 = 393.83/x
  3. Step 3: Cross multiply
    692.63x = 955.79 × 393.83
  4. Step 4: Simplify right side
    692.63x = 376,420.18
  5. Step 5: Solve for x
    x = 376,420.18/692.63
  6. Step 6: Final answer
    x = 543.47

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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.