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Finding the Fourth Proportional to 578.06, 797.71 and 354.08

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Solution

The fourth proportional to 578.06, 797.71 and 354.08 is: 488.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.06 : 797.71 = 354.08 : x
  2. Step 2: Convert to fraction form
    578.06/797.71 = 354.08/x
  3. Step 3: Cross multiply
    578.06x = 797.71 × 354.08
  4. Step 4: Simplify right side
    578.06x = 282,451.39
  5. Step 5: Solve for x
    x = 282,451.39/578.06
  6. Step 6: Final answer
    x = 488.62

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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.