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Finding the Fourth Proportional to 434.58, 650.58 and 311.82

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Solution

The fourth proportional to 434.58, 650.58 and 311.82 is: 466.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.58 : 650.58 = 311.82 : x
  2. Step 2: Convert to fraction form
    434.58/650.58 = 311.82/x
  3. Step 3: Cross multiply
    434.58x = 650.58 × 311.82
  4. Step 4: Simplify right side
    434.58x = 202,863.86
  5. Step 5: Solve for x
    x = 202,863.86/434.58
  6. Step 6: Final answer
    x = 466.80

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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.