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Finding the Fourth Proportional to 409.60, 613.50 and 307

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Solution

The fourth proportional to 409.60, 613.50 and 307 is: 459.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.60 : 613.50 = 307 : x
  2. Step 2: Convert to fraction form
    409.60/613.50 = 307/x
  3. Step 3: Cross multiply
    409.60x = 613.50 × 307
  4. Step 4: Simplify right side
    409.60x = 188,344.50
  5. Step 5: Solve for x
    x = 188,344.50/409.60
  6. Step 6: Final answer
    x = 459.83

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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.