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Finding the Fourth Proportional to 292.98, 403.44 and 209.94

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Solution

The fourth proportional to 292.98, 403.44 and 209.94 is: 289.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.98 : 403.44 = 209.94 : x
  2. Step 2: Convert to fraction form
    292.98/403.44 = 209.94/x
  3. Step 3: Cross multiply
    292.98x = 403.44 × 209.94
  4. Step 4: Simplify right side
    292.98x = 84,698.19
  5. Step 5: Solve for x
    x = 84,698.19/292.98
  6. Step 6: Final answer
    x = 289.09

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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.