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Finding the Fourth Proportional to 451.52, 677.51 and 207.77

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Solution

The fourth proportional to 451.52, 677.51 and 207.77 is: 311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.52 : 677.51 = 207.77 : x
  2. Step 2: Convert to fraction form
    451.52/677.51 = 207.77/x
  3. Step 3: Cross multiply
    451.52x = 677.51 × 207.77
  4. Step 4: Simplify right side
    451.52x = 140,763.77
  5. Step 5: Solve for x
    x = 140,763.77/451.52
  6. Step 6: Final answer
    x = 311.75

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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.