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Finding the Fourth Proportional to 451.52, 676.56 and 435.68

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Solution

The fourth proportional to 451.52, 676.56 and 435.68 is: 652.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.52 : 676.56 = 435.68 : x
  2. Step 2: Convert to fraction form
    451.52/676.56 = 435.68/x
  3. Step 3: Cross multiply
    451.52x = 676.56 × 435.68
  4. Step 4: Simplify right side
    451.52x = 294,763.66
  5. Step 5: Solve for x
    x = 294,763.66/451.52
  6. Step 6: Final answer
    x = 652.83

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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.