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Finding the Fourth Proportional to 495.28, 682.84 and 407.92

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Solution

The fourth proportional to 495.28, 682.84 and 407.92 is: 562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.28 : 682.84 = 407.92 : x
  2. Step 2: Convert to fraction form
    495.28/682.84 = 407.92/x
  3. Step 3: Cross multiply
    495.28x = 682.84 × 407.92
  4. Step 4: Simplify right side
    495.28x = 278,544.09
  5. Step 5: Solve for x
    x = 278,544.09/495.28
  6. Step 6: Final answer
    x = 562.40

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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.