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Finding the Fourth Proportional to 451.37, 677.46 and 304.76

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Solution

The fourth proportional to 451.37, 677.46 and 304.76 is: 457.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.37 : 677.46 = 304.76 : x
  2. Step 2: Convert to fraction form
    451.37/677.46 = 304.76/x
  3. Step 3: Cross multiply
    451.37x = 677.46 × 304.76
  4. Step 4: Simplify right side
    451.37x = 206,462.71
  5. Step 5: Solve for x
    x = 206,462.71/451.37
  6. Step 6: Final answer
    x = 457.41

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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.