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Finding the Fourth Proportional to 578.29, 798.60 and 494.91

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Solution

The fourth proportional to 578.29, 798.60 and 494.91 is: 683.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.29 : 798.60 = 494.91 : x
  2. Step 2: Convert to fraction form
    578.29/798.60 = 494.91/x
  3. Step 3: Cross multiply
    578.29x = 798.60 × 494.91
  4. Step 4: Simplify right side
    578.29x = 395,235.13
  5. Step 5: Solve for x
    x = 395,235.13/578.29
  6. Step 6: Final answer
    x = 683.45

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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.