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Finding the Fourth Proportional to 600.89, 829.53 and 454.14

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Solution

The fourth proportional to 600.89, 829.53 and 454.14 is: 626.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.89 : 829.53 = 454.14 : x
  2. Step 2: Convert to fraction form
    600.89/829.53 = 454.14/x
  3. Step 3: Cross multiply
    600.89x = 829.53 × 454.14
  4. Step 4: Simplify right side
    600.89x = 376,722.75
  5. Step 5: Solve for x
    x = 376,722.75/600.89
  6. Step 6: Final answer
    x = 626.95

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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.