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Finding the Fourth Proportional to 451.74, 677.32 and 269.16

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Solution

The fourth proportional to 451.74, 677.32 and 269.16 is: 403.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.74 : 677.32 = 269.16 : x
  2. Step 2: Convert to fraction form
    451.74/677.32 = 269.16/x
  3. Step 3: Cross multiply
    451.74x = 677.32 × 269.16
  4. Step 4: Simplify right side
    451.74x = 182,307.45
  5. Step 5: Solve for x
    x = 182,307.45/451.74
  6. Step 6: Final answer
    x = 403.57

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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.