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Finding the Fourth Proportional to 692, 955.20 and 429.98

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Solution

The fourth proportional to 692, 955.20 and 429.98 is: 593.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    692 : 955.20 = 429.98 : x
  2. Step 2: Convert to fraction form
    692/955.20 = 429.98/x
  3. Step 3: Cross multiply
    692x = 955.20 × 429.98
  4. Step 4: Simplify right side
    692x = 410,716.90
  5. Step 5: Solve for x
    x = 410,716.90/692
  6. Step 6: Final answer
    x = 593.52

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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.