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Finding the Fourth Proportional to 313.80, 433.18 and 209.07

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Solution

The fourth proportional to 313.80, 433.18 and 209.07 is: 288.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.80 : 433.18 = 209.07 : x
  2. Step 2: Convert to fraction form
    313.80/433.18 = 209.07/x
  3. Step 3: Cross multiply
    313.80x = 433.18 × 209.07
  4. Step 4: Simplify right side
    313.80x = 90,564.94
  5. Step 5: Solve for x
    x = 90,564.94/313.80
  6. Step 6: Final answer
    x = 288.61

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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.