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Finding the Fourth Proportional to 451.52, 677.29 and 383.52

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Solution

The fourth proportional to 451.52, 677.29 and 383.52 is: 575.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.52 : 677.29 = 383.52 : x
  2. Step 2: Convert to fraction form
    451.52/677.29 = 383.52/x
  3. Step 3: Cross multiply
    451.52x = 677.29 × 383.52
  4. Step 4: Simplify right side
    451.52x = 259,754.53
  5. Step 5: Solve for x
    x = 259,754.53/451.52
  6. Step 6: Final answer
    x = 575.28

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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.