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Finding the Fourth Proportional to 579.78, 797.40 and 506.16

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Solution

The fourth proportional to 579.78, 797.40 and 506.16 is: 696.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.78 : 797.40 = 506.16 : x
  2. Step 2: Convert to fraction form
    579.78/797.40 = 506.16/x
  3. Step 3: Cross multiply
    579.78x = 797.40 × 506.16
  4. Step 4: Simplify right side
    579.78x = 403,611.98
  5. Step 5: Solve for x
    x = 403,611.98/579.78
  6. Step 6: Final answer
    x = 696.15

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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.