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Finding the Fourth Proportional to 573.06, 858.87 and 496.02

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Solution

The fourth proportional to 573.06, 858.87 and 496.02 is: 743.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.06 : 858.87 = 496.02 : x
  2. Step 2: Convert to fraction form
    573.06/858.87 = 496.02/x
  3. Step 3: Cross multiply
    573.06x = 858.87 × 496.02
  4. Step 4: Simplify right side
    573.06x = 426,016.70
  5. Step 5: Solve for x
    x = 426,016.70/573.06
  6. Step 6: Final answer
    x = 743.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.