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Finding the Fourth Proportional to 465.14, 695.96 and 311.46

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Solution

The fourth proportional to 465.14, 695.96 and 311.46 is: 466.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.14 : 695.96 = 311.46 : x
  2. Step 2: Convert to fraction form
    465.14/695.96 = 311.46/x
  3. Step 3: Cross multiply
    465.14x = 695.96 × 311.46
  4. Step 4: Simplify right side
    465.14x = 216,763.70
  5. Step 5: Solve for x
    x = 216,763.70/465.14
  6. Step 6: Final answer
    x = 466.02

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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.