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Finding the Fourth Proportional to 307.62, 460.62 and 209.89

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Solution

The fourth proportional to 307.62, 460.62 and 209.89 is: 314.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.62 : 460.62 = 209.89 : x
  2. Step 2: Convert to fraction form
    307.62/460.62 = 209.89/x
  3. Step 3: Cross multiply
    307.62x = 460.62 × 209.89
  4. Step 4: Simplify right side
    307.62x = 96,680.11
  5. Step 5: Solve for x
    x = 96,680.11/307.62
  6. Step 6: Final answer
    x = 314.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.