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Finding the Fourth Proportional to 451.68, 676.54 and 256.24

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Solution

The fourth proportional to 451.68, 676.54 and 256.24 is: 383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.68 : 676.54 = 256.24 : x
  2. Step 2: Convert to fraction form
    451.68/676.54 = 256.24/x
  3. Step 3: Cross multiply
    451.68x = 676.54 × 256.24
  4. Step 4: Simplify right side
    451.68x = 173,356.61
  5. Step 5: Solve for x
    x = 173,356.61/451.68
  6. Step 6: Final answer
    x = 383.80

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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.