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Finding the Fourth Proportional to 451.76, 677.08 and 256.92

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Solution

The fourth proportional to 451.76, 677.08 and 256.92 is: 385.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.76 : 677.08 = 256.92 : x
  2. Step 2: Convert to fraction form
    451.76/677.08 = 256.92/x
  3. Step 3: Cross multiply
    451.76x = 677.08 × 256.92
  4. Step 4: Simplify right side
    451.76x = 173,957.47
  5. Step 5: Solve for x
    x = 173,957.47/451.76
  6. Step 6: Final answer
    x = 385.07

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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.