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Finding the Fourth Proportional to 578.13, 797.81 and 403.57

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Solution

The fourth proportional to 578.13, 797.81 and 403.57 is: 556.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.13 : 797.81 = 403.57 : x
  2. Step 2: Convert to fraction form
    578.13/797.81 = 403.57/x
  3. Step 3: Cross multiply
    578.13x = 797.81 × 403.57
  4. Step 4: Simplify right side
    578.13x = 321,972.18
  5. Step 5: Solve for x
    x = 321,972.18/578.13
  6. Step 6: Final answer
    x = 556.92

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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.