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Finding the Fourth Proportional to 451.66, 678.24 and 305.86

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Solution

The fourth proportional to 451.66, 678.24 and 305.86 is: 459.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.66 : 678.24 = 305.86 : x
  2. Step 2: Convert to fraction form
    451.66/678.24 = 305.86/x
  3. Step 3: Cross multiply
    451.66x = 678.24 × 305.86
  4. Step 4: Simplify right side
    451.66x = 207,446.49
  5. Step 5: Solve for x
    x = 207,446.49/451.66
  6. Step 6: Final answer
    x = 459.30

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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.