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Finding the Fourth Proportional to 302.46, 417.43 and 209.21

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Solution

The fourth proportional to 302.46, 417.43 and 209.21 is: 288.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.46 : 417.43 = 209.21 : x
  2. Step 2: Convert to fraction form
    302.46/417.43 = 209.21/x
  3. Step 3: Cross multiply
    302.46x = 417.43 × 209.21
  4. Step 4: Simplify right side
    302.46x = 87,329.29
  5. Step 5: Solve for x
    x = 87,329.29/302.46
  6. Step 6: Final answer
    x = 288.73

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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.