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Finding the Fourth Proportional to 305.98, 459.12 and 305.12

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Solution

The fourth proportional to 305.98, 459.12 and 305.12 is: 457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.98 : 459.12 = 305.12 : x
  2. Step 2: Convert to fraction form
    305.98/459.12 = 305.12/x
  3. Step 3: Cross multiply
    305.98x = 459.12 × 305.12
  4. Step 4: Simplify right side
    305.98x = 140,086.69
  5. Step 5: Solve for x
    x = 140,086.69/305.98
  6. Step 6: Final answer
    x = 457.83

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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.