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Finding the Fourth Proportional to 453.29, 677.86 and 337.82

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Solution

The fourth proportional to 453.29, 677.86 and 337.82 is: 505.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.29 : 677.86 = 337.82 : x
  2. Step 2: Convert to fraction form
    453.29/677.86 = 337.82/x
  3. Step 3: Cross multiply
    453.29x = 677.86 × 337.82
  4. Step 4: Simplify right side
    453.29x = 228,992.97
  5. Step 5: Solve for x
    x = 228,992.97/453.29
  6. Step 6: Final answer
    x = 505.18

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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.