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Finding the Fourth Proportional to 451.66, 677.28 and 269.08

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Solution

The fourth proportional to 451.66, 677.28 and 269.08 is: 403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.66 : 677.28 = 269.08 : x
  2. Step 2: Convert to fraction form
    451.66/677.28 = 269.08/x
  3. Step 3: Cross multiply
    451.66x = 677.28 × 269.08
  4. Step 4: Simplify right side
    451.66x = 182,242.50
  5. Step 5: Solve for x
    x = 182,242.50/451.66
  6. Step 6: Final answer
    x = 403.49

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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.