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Finding the Fourth Proportional to 434.78, 650.62 and 342.84

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Solution

The fourth proportional to 434.78, 650.62 and 342.84 is: 513.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.78 : 650.62 = 342.84 : x
  2. Step 2: Convert to fraction form
    434.78/650.62 = 342.84/x
  3. Step 3: Cross multiply
    434.78x = 650.62 × 342.84
  4. Step 4: Simplify right side
    434.78x = 223,058.56
  5. Step 5: Solve for x
    x = 223,058.56/434.78
  6. Step 6: Final answer
    x = 513.04

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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.