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Finding the Fourth Proportional to 600.92, 830.06 and 484.92

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Solution

The fourth proportional to 600.92, 830.06 and 484.92 is: 669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.92 : 830.06 = 484.92 : x
  2. Step 2: Convert to fraction form
    600.92/830.06 = 484.92/x
  3. Step 3: Cross multiply
    600.92x = 830.06 × 484.92
  4. Step 4: Simplify right side
    600.92x = 402,512.70
  5. Step 5: Solve for x
    x = 402,512.70/600.92
  6. Step 6: Final answer
    x = 669.83

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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.