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Finding the Fourth Proportional to 573.94, 792.22 and 337.87

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Solution

The fourth proportional to 573.94, 792.22 and 337.87 is: 466.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.94 : 792.22 = 337.87 : x
  2. Step 2: Convert to fraction form
    573.94/792.22 = 337.87/x
  3. Step 3: Cross multiply
    573.94x = 792.22 × 337.87
  4. Step 4: Simplify right side
    573.94x = 267,666.32
  5. Step 5: Solve for x
    x = 267,666.32/573.94
  6. Step 6: Final answer
    x = 466.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.