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Finding the Fourth Proportional to 579.92, 800.58 and 359.00

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Solution

The fourth proportional to 579.92, 800.58 and 359.00 is: 495.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.92 : 800.58 = 359.00 : x
  2. Step 2: Convert to fraction form
    579.92/800.58 = 359.00/x
  3. Step 3: Cross multiply
    579.92x = 800.58 × 359.00
  4. Step 4: Simplify right side
    579.92x = 287,404.22
  5. Step 5: Solve for x
    x = 287,404.22/579.92
  6. Step 6: Final answer
    x = 495.60

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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.