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Finding the Fourth Proportional to 313.60, 470.39 and 206.07

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Solution

The fourth proportional to 313.60, 470.39 and 206.07 is: 309.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.60 : 470.39 = 206.07 : x
  2. Step 2: Convert to fraction form
    313.60/470.39 = 206.07/x
  3. Step 3: Cross multiply
    313.60x = 470.39 × 206.07
  4. Step 4: Simplify right side
    313.60x = 96,930.92
  5. Step 5: Solve for x
    x = 96,930.92/313.60
  6. Step 6: Final answer
    x = 309.10

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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.