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Finding the Fourth Proportional to 495.94, 684.63 and 449.14

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Solution

The fourth proportional to 495.94, 684.63 and 449.14 is: 620.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.94 : 684.63 = 449.14 : x
  2. Step 2: Convert to fraction form
    495.94/684.63 = 449.14/x
  3. Step 3: Cross multiply
    495.94x = 684.63 × 449.14
  4. Step 4: Simplify right side
    495.94x = 307,494.72
  5. Step 5: Solve for x
    x = 307,494.72/495.94
  6. Step 6: Final answer
    x = 620.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.