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Finding the Fourth Proportional to 497.04, 743.73 and 409.56

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Solution

The fourth proportional to 497.04, 743.73 and 409.56 is: 612.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.04 : 743.73 = 409.56 : x
  2. Step 2: Convert to fraction form
    497.04/743.73 = 409.56/x
  3. Step 3: Cross multiply
    497.04x = 743.73 × 409.56
  4. Step 4: Simplify right side
    497.04x = 304,602.06
  5. Step 5: Solve for x
    x = 304,602.06/497.04
  6. Step 6: Final answer
    x = 612.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.