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Finding the Fourth Proportional to 692.63, 955.45 and 443.66

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Solution

The fourth proportional to 692.63, 955.45 and 443.66 is: 612.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.63 : 955.45 = 443.66 : x
  2. Step 2: Convert to fraction form
    692.63/955.45 = 443.66/x
  3. Step 3: Cross multiply
    692.63x = 955.45 × 443.66
  4. Step 4: Simplify right side
    692.63x = 423,897.63
  5. Step 5: Solve for x
    x = 423,897.63/692.63
  6. Step 6: Final answer
    x = 612.02

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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.