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Finding the Fourth Proportional to 484.92, 725.49 and 290.07

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Solution

The fourth proportional to 484.92, 725.49 and 290.07 is: 433.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.92 : 725.49 = 290.07 : x
  2. Step 2: Convert to fraction form
    484.92/725.49 = 290.07/x
  3. Step 3: Cross multiply
    484.92x = 725.49 × 290.07
  4. Step 4: Simplify right side
    484.92x = 210,442.88
  5. Step 5: Solve for x
    x = 210,442.88/484.92
  6. Step 6: Final answer
    x = 433.97

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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.