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Finding the Fourth Proportional to 450.96, 676.05 and 314.26

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Solution

The fourth proportional to 450.96, 676.05 and 314.26 is: 471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.96 : 676.05 = 314.26 : x
  2. Step 2: Convert to fraction form
    450.96/676.05 = 314.26/x
  3. Step 3: Cross multiply
    450.96x = 676.05 × 314.26
  4. Step 4: Simplify right side
    450.96x = 212,455.47
  5. Step 5: Solve for x
    x = 212,455.47/450.96
  6. Step 6: Final answer
    x = 471.12

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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.