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Finding the Fourth Proportional to 578.26, 797.70 and 473.77

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Solution

The fourth proportional to 578.26, 797.70 and 473.77 is: 653.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.26 : 797.70 = 473.77 : x
  2. Step 2: Convert to fraction form
    578.26/797.70 = 473.77/x
  3. Step 3: Cross multiply
    578.26x = 797.70 × 473.77
  4. Step 4: Simplify right side
    578.26x = 377,924.62
  5. Step 5: Solve for x
    x = 377,924.62/578.26
  6. Step 6: Final answer
    x = 653.56

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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.