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Finding the Fourth Proportional to 692.34, 955.13 and 455.99

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Solution

The fourth proportional to 692.34, 955.13 and 455.99 is: 629.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.34 : 955.13 = 455.99 : x
  2. Step 2: Convert to fraction form
    692.34/955.13 = 455.99/x
  3. Step 3: Cross multiply
    692.34x = 955.13 × 455.99
  4. Step 4: Simplify right side
    692.34x = 435,522.67
  5. Step 5: Solve for x
    x = 435,522.67/692.34
  6. Step 6: Final answer
    x = 629.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.