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Finding the Fourth Proportional to 314.85, 434.33 and 209.99

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Solution

The fourth proportional to 314.85, 434.33 and 209.99 is: 289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.85 : 434.33 = 209.99 : x
  2. Step 2: Convert to fraction form
    314.85/434.33 = 209.99/x
  3. Step 3: Cross multiply
    314.85x = 434.33 × 209.99
  4. Step 4: Simplify right side
    314.85x = 91,205.78
  5. Step 5: Solve for x
    x = 91,205.78/314.85
  6. Step 6: Final answer
    x = 289.68

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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.