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Finding the Fourth Proportional to 293.01, 403.78 and 209.89

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Solution

The fourth proportional to 293.01, 403.78 and 209.89 is: 289.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.01 : 403.78 = 209.89 : x
  2. Step 2: Convert to fraction form
    293.01/403.78 = 209.89/x
  3. Step 3: Cross multiply
    293.01x = 403.78 × 209.89
  4. Step 4: Simplify right side
    293.01x = 84,746.32
  5. Step 5: Solve for x
    x = 84,746.32/293.01
  6. Step 6: Final answer
    x = 289.23

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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.