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Finding the Fourth Proportional to 314.64, 434.22 and 209.54

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Solution

The fourth proportional to 314.64, 434.22 and 209.54 is: 289.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.64 : 434.22 = 209.54 : x
  2. Step 2: Convert to fraction form
    314.64/434.22 = 209.54/x
  3. Step 3: Cross multiply
    314.64x = 434.22 × 209.54
  4. Step 4: Simplify right side
    314.64x = 90,986.46
  5. Step 5: Solve for x
    x = 90,986.46/314.64
  6. Step 6: Final answer
    x = 289.18

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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.