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Finding the Fourth Proportional to 314.57, 434.12 and 209.88

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Solution

The fourth proportional to 314.57, 434.12 and 209.88 is: 289.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.57 : 434.12 = 209.88 : x
  2. Step 2: Convert to fraction form
    314.57/434.12 = 209.88/x
  3. Step 3: Cross multiply
    314.57x = 434.12 × 209.88
  4. Step 4: Simplify right side
    314.57x = 91,113.11
  5. Step 5: Solve for x
    x = 91,113.11/314.57
  6. Step 6: Final answer
    x = 289.64

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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.