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Finding the Fourth Proportional to 311.31, 465.60 and 256.77

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Solution

The fourth proportional to 311.31, 465.60 and 256.77 is: 384.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.31 : 465.60 = 256.77 : x
  2. Step 2: Convert to fraction form
    311.31/465.60 = 256.77/x
  3. Step 3: Cross multiply
    311.31x = 465.60 × 256.77
  4. Step 4: Simplify right side
    311.31x = 119,552.11
  5. Step 5: Solve for x
    x = 119,552.11/311.31
  6. Step 6: Final answer
    x = 384.03

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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.