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Finding the Fourth Proportional to 449.06, 672.87 and 405.86

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Solution

The fourth proportional to 449.06, 672.87 and 405.86 is: 608.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.06 : 672.87 = 405.86 : x
  2. Step 2: Convert to fraction form
    449.06/672.87 = 405.86/x
  3. Step 3: Cross multiply
    449.06x = 672.87 × 405.86
  4. Step 4: Simplify right side
    449.06x = 273,091.02
  5. Step 5: Solve for x
    x = 273,091.02/449.06
  6. Step 6: Final answer
    x = 608.14

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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.