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Finding the Fourth Proportional to 600.08, 896.63 and 477.05

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Solution

The fourth proportional to 600.08, 896.63 and 477.05 is: 712.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.08 : 896.63 = 477.05 : x
  2. Step 2: Convert to fraction form
    600.08/896.63 = 477.05/x
  3. Step 3: Cross multiply
    600.08x = 896.63 × 477.05
  4. Step 4: Simplify right side
    600.08x = 427,730.47
  5. Step 5: Solve for x
    x = 427,730.47/600.08
  6. Step 6: Final answer
    x = 712.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.