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Finding the Fourth Proportional to 404.13, 604.85 and 292.49

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Solution

The fourth proportional to 404.13, 604.85 and 292.49 is: 437.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.13 : 604.85 = 292.49 : x
  2. Step 2: Convert to fraction form
    404.13/604.85 = 292.49/x
  3. Step 3: Cross multiply
    404.13x = 604.85 × 292.49
  4. Step 4: Simplify right side
    404.13x = 176,908.09
  5. Step 5: Solve for x
    x = 176,908.09/404.13
  6. Step 6: Final answer
    x = 437.75

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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.