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Finding the Fourth Proportional to 578.19, 797.72 and 357.06

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Solution

The fourth proportional to 578.19, 797.72 and 357.06 is: 492.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.19 : 797.72 = 357.06 : x
  2. Step 2: Convert to fraction form
    578.19/797.72 = 357.06/x
  3. Step 3: Cross multiply
    578.19x = 797.72 × 357.06
  4. Step 4: Simplify right side
    578.19x = 284,832.12
  5. Step 5: Solve for x
    x = 284,832.12/578.19
  6. Step 6: Final answer
    x = 492.63

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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.