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Finding the Fourth Proportional to 403.89, 604.40 and 343.74

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Solution

The fourth proportional to 403.89, 604.40 and 343.74 is: 514.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.89 : 604.40 = 343.74 : x
  2. Step 2: Convert to fraction form
    403.89/604.40 = 343.74/x
  3. Step 3: Cross multiply
    403.89x = 604.40 × 343.74
  4. Step 4: Simplify right side
    403.89x = 207,756.46
  5. Step 5: Solve for x
    x = 207,756.46/403.89
  6. Step 6: Final answer
    x = 514.39

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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.