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Finding the Fourth Proportional to 578.08, 796.88 and 474.40

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Solution

The fourth proportional to 578.08, 796.88 and 474.40 is: 653.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.08 : 796.88 = 474.40 : x
  2. Step 2: Convert to fraction form
    578.08/796.88 = 474.40/x
  3. Step 3: Cross multiply
    578.08x = 796.88 × 474.40
  4. Step 4: Simplify right side
    578.08x = 378,039.87
  5. Step 5: Solve for x
    x = 378,039.87/578.08
  6. Step 6: Final answer
    x = 653.96

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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.