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Finding the Fourth Proportional to 692.10, 955.71 and 470.98

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Solution

The fourth proportional to 692.10, 955.71 and 470.98 is: 650.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.10 : 955.71 = 470.98 : x
  2. Step 2: Convert to fraction form
    692.10/955.71 = 470.98/x
  3. Step 3: Cross multiply
    692.10x = 955.71 × 470.98
  4. Step 4: Simplify right side
    692.10x = 450,120.30
  5. Step 5: Solve for x
    x = 450,120.30/692.10
  6. Step 6: Final answer
    x = 650.37

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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.