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Finding the Fourth Proportional to 573.90, 861.18 and 343.35

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Solution

The fourth proportional to 573.90, 861.18 and 343.35 is: 515.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.90 : 861.18 = 343.35 : x
  2. Step 2: Convert to fraction form
    573.90/861.18 = 343.35/x
  3. Step 3: Cross multiply
    573.90x = 861.18 × 343.35
  4. Step 4: Simplify right side
    573.90x = 295,686.15
  5. Step 5: Solve for x
    x = 295,686.15/573.90
  6. Step 6: Final answer
    x = 515.22

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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.