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Finding the Fourth Proportional to 573.34, 861.60 and 342.26

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Solution

The fourth proportional to 573.34, 861.60 and 342.26 is: 514.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.34 : 861.60 = 342.26 : x
  2. Step 2: Convert to fraction form
    573.34/861.60 = 342.26/x
  3. Step 3: Cross multiply
    573.34x = 861.60 × 342.26
  4. Step 4: Simplify right side
    573.34x = 294,891.22
  5. Step 5: Solve for x
    x = 294,891.22/573.34
  6. Step 6: Final answer
    x = 514.34

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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.