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Finding the Fourth Proportional to 522.89, 722.37 and 343.86

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Solution

The fourth proportional to 522.89, 722.37 and 343.86 is: 475.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.89 : 722.37 = 343.86 : x
  2. Step 2: Convert to fraction form
    522.89/722.37 = 343.86/x
  3. Step 3: Cross multiply
    522.89x = 722.37 × 343.86
  4. Step 4: Simplify right side
    522.89x = 248,394.15
  5. Step 5: Solve for x
    x = 248,394.15/522.89
  6. Step 6: Final answer
    x = 475.05

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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.