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Finding the Fourth Proportional to 449.31, 674.00 and 256.53

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Solution

The fourth proportional to 449.31, 674.00 and 256.53 is: 384.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.31 : 674.00 = 256.53 : x
  2. Step 2: Convert to fraction form
    449.31/674.00 = 256.53/x
  3. Step 3: Cross multiply
    449.31x = 674.00 × 256.53
  4. Step 4: Simplify right side
    449.31x = 172,899.94
  5. Step 5: Solve for x
    x = 172,899.94/449.31
  6. Step 6: Final answer
    x = 384.81

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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.