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Finding the Fourth Proportional to 456.94, 684.82 and 451.81

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Solution

The fourth proportional to 456.94, 684.82 and 451.81 is: 677.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.94 : 684.82 = 451.81 : x
  2. Step 2: Convert to fraction form
    456.94/684.82 = 451.81/x
  3. Step 3: Cross multiply
    456.94x = 684.82 × 451.81
  4. Step 4: Simplify right side
    456.94x = 309,408.52
  5. Step 5: Solve for x
    x = 309,408.52/456.94
  6. Step 6: Final answer
    x = 677.13

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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.