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Finding the Fourth Proportional to 465.95, 697.82 and 311.45

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Solution

The fourth proportional to 465.95, 697.82 and 311.45 is: 466.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.95 : 697.82 = 311.45 : x
  2. Step 2: Convert to fraction form
    465.95/697.82 = 311.45/x
  3. Step 3: Cross multiply
    465.95x = 697.82 × 311.45
  4. Step 4: Simplify right side
    465.95x = 217,330.99
  5. Step 5: Solve for x
    x = 217,330.99/465.95
  6. Step 6: Final answer
    x = 466.42

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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.