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Finding the Fourth Proportional to 498.02, 687.84 and 409.73

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Solution

The fourth proportional to 498.02, 687.84 and 409.73 is: 565.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.02 : 687.84 = 409.73 : x
  2. Step 2: Convert to fraction form
    498.02/687.84 = 409.73/x
  3. Step 3: Cross multiply
    498.02x = 687.84 × 409.73
  4. Step 4: Simplify right side
    498.02x = 281,828.68
  5. Step 5: Solve for x
    x = 281,828.68/498.02
  6. Step 6: Final answer
    x = 565.90

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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.