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Finding the Fourth Proportional to 434.35, 650.23 and 279.82

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Solution

The fourth proportional to 434.35, 650.23 and 279.82 is: 418.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.35 : 650.23 = 279.82 : x
  2. Step 2: Convert to fraction form
    434.35/650.23 = 279.82/x
  3. Step 3: Cross multiply
    434.35x = 650.23 × 279.82
  4. Step 4: Simplify right side
    434.35x = 181,947.36
  5. Step 5: Solve for x
    x = 181,947.36/434.35
  6. Step 6: Final answer
    x = 418.90

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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.