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Finding the Fourth Proportional to 450.77, 676.80 and 256.14

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Solution

The fourth proportional to 450.77, 676.80 and 256.14 is: 384.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.77 : 676.80 = 256.14 : x
  2. Step 2: Convert to fraction form
    450.77/676.80 = 256.14/x
  3. Step 3: Cross multiply
    450.77x = 676.80 × 256.14
  4. Step 4: Simplify right side
    450.77x = 173,355.55
  5. Step 5: Solve for x
    x = 173,355.55/450.77
  6. Step 6: Final answer
    x = 384.58

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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.