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Finding the Fourth Proportional to 311.50, 465.90 and 305.74

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Solution

The fourth proportional to 311.50, 465.90 and 305.74 is: 457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.50 : 465.90 = 305.74 : x
  2. Step 2: Convert to fraction form
    311.50/465.90 = 305.74/x
  3. Step 3: Cross multiply
    311.50x = 465.90 × 305.74
  4. Step 4: Simplify right side
    311.50x = 142,444.27
  5. Step 5: Solve for x
    x = 142,444.27/311.50
  6. Step 6: Final answer
    x = 457.28

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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.