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Finding the Fourth Proportional to 692.43, 954.10 and 470.99

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Solution

The fourth proportional to 692.43, 954.10 and 470.99 is: 648.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.43 : 954.10 = 470.99 : x
  2. Step 2: Convert to fraction form
    692.43/954.10 = 470.99/x
  3. Step 3: Cross multiply
    692.43x = 954.10 × 470.99
  4. Step 4: Simplify right side
    692.43x = 449,371.56
  5. Step 5: Solve for x
    x = 449,371.56/692.43
  6. Step 6: Final answer
    x = 648.98

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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.