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Finding the Fourth Proportional to 466.14, 698.76 and 303.96

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Solution

The fourth proportional to 466.14, 698.76 and 303.96 is: 455.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.14 : 698.76 = 303.96 : x
  2. Step 2: Convert to fraction form
    466.14/698.76 = 303.96/x
  3. Step 3: Cross multiply
    466.14x = 698.76 × 303.96
  4. Step 4: Simplify right side
    466.14x = 212,395.09
  5. Step 5: Solve for x
    x = 212,395.09/466.14
  6. Step 6: Final answer
    x = 455.65

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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.