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Finding the Fourth Proportional to 434.10, 650.71 and 173.98

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Solution

The fourth proportional to 434.10, 650.71 and 173.98 is: 260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.10 : 650.71 = 173.98 : x
  2. Step 2: Convert to fraction form
    434.10/650.71 = 173.98/x
  3. Step 3: Cross multiply
    434.10x = 650.71 × 173.98
  4. Step 4: Simplify right side
    434.10x = 113,206.40
  5. Step 5: Solve for x
    x = 113,206.40/434.10
  6. Step 6: Final answer
    x = 260.78

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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.