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Finding the Fourth Proportional to 496.29, 684.96 and 322.14

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Solution

The fourth proportional to 496.29, 684.96 and 322.14 is: 444.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.29 : 684.96 = 322.14 : x
  2. Step 2: Convert to fraction form
    496.29/684.96 = 322.14/x
  3. Step 3: Cross multiply
    496.29x = 684.96 × 322.14
  4. Step 4: Simplify right side
    496.29x = 220,653.01
  5. Step 5: Solve for x
    x = 220,653.01/496.29
  6. Step 6: Final answer
    x = 444.60

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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.