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Finding the Fourth Proportional to 451.40, 676.32 and 434.54

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Solution

The fourth proportional to 451.40, 676.32 and 434.54 is: 651.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.40 : 676.32 = 434.54 : x
  2. Step 2: Convert to fraction form
    451.40/676.32 = 434.54/x
  3. Step 3: Cross multiply
    451.40x = 676.32 × 434.54
  4. Step 4: Simplify right side
    451.40x = 293,884.71
  5. Step 5: Solve for x
    x = 293,884.71/451.40
  6. Step 6: Final answer
    x = 651.06

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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.