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Finding the Fourth Proportional to 292.53, 403.82 and 209.49

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Solution

The fourth proportional to 292.53, 403.82 and 209.49 is: 289.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.53 : 403.82 = 209.49 : x
  2. Step 2: Convert to fraction form
    292.53/403.82 = 209.49/x
  3. Step 3: Cross multiply
    292.53x = 403.82 × 209.49
  4. Step 4: Simplify right side
    292.53x = 84,596.25
  5. Step 5: Solve for x
    x = 84,596.25/292.53
  6. Step 6: Final answer
    x = 289.19

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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.