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Finding the Fourth Proportional to 692.06, 955.87 and 470.64

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Solution

The fourth proportional to 692.06, 955.87 and 470.64 is: 650.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.06 : 955.87 = 470.64 : x
  2. Step 2: Convert to fraction form
    692.06/955.87 = 470.64/x
  3. Step 3: Cross multiply
    692.06x = 955.87 × 470.64
  4. Step 4: Simplify right side
    692.06x = 449,869.48
  5. Step 5: Solve for x
    x = 449,869.48/692.06
  6. Step 6: Final answer
    x = 650.04

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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.