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Finding the Fourth Proportional to 496.04, 682.96 and 407.68

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Solution

The fourth proportional to 496.04, 682.96 and 407.68 is: 561.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.04 : 682.96 = 407.68 : x
  2. Step 2: Convert to fraction form
    496.04/682.96 = 407.68/x
  3. Step 3: Cross multiply
    496.04x = 682.96 × 407.68
  4. Step 4: Simplify right side
    496.04x = 278,429.13
  5. Step 5: Solve for x
    x = 278,429.13/496.04
  6. Step 6: Final answer
    x = 561.30

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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.