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Finding the Fourth Proportional to 342.89, 515.24 and 341.98

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Solution

The fourth proportional to 342.89, 515.24 and 341.98 is: 513.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.89 : 515.24 = 341.98 : x
  2. Step 2: Convert to fraction form
    342.89/515.24 = 341.98/x
  3. Step 3: Cross multiply
    342.89x = 515.24 × 341.98
  4. Step 4: Simplify right side
    342.89x = 176,201.34
  5. Step 5: Solve for x
    x = 176,201.34/342.89
  6. Step 6: Final answer
    x = 513.88

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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.