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Finding the Fourth Proportional to 342.19, 513.45 and 336.73

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Solution

The fourth proportional to 342.19, 513.45 and 336.73 is: 505.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.19 : 513.45 = 336.73 : x
  2. Step 2: Convert to fraction form
    342.19/513.45 = 336.73/x
  3. Step 3: Cross multiply
    342.19x = 513.45 × 336.73
  4. Step 4: Simplify right side
    342.19x = 172,894.02
  5. Step 5: Solve for x
    x = 172,894.02/342.19
  6. Step 6: Final answer
    x = 505.26

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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.