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Finding the Fourth Proportional to 692.28, 955.17 and 482.22

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Solution

The fourth proportional to 692.28, 955.17 and 482.22 is: 665.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.28 : 955.17 = 482.22 : x
  2. Step 2: Convert to fraction form
    692.28/955.17 = 482.22/x
  3. Step 3: Cross multiply
    692.28x = 955.17 × 482.22
  4. Step 4: Simplify right side
    692.28x = 460,602.08
  5. Step 5: Solve for x
    x = 460,602.08/692.28
  6. Step 6: Final answer
    x = 665.34

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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.