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Finding the Fourth Proportional to 314.12, 470.46 and 308.84

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Solution

The fourth proportional to 314.12, 470.46 and 308.84 is: 462.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.12 : 470.46 = 308.84 : x
  2. Step 2: Convert to fraction form
    314.12/470.46 = 308.84/x
  3. Step 3: Cross multiply
    314.12x = 470.46 × 308.84
  4. Step 4: Simplify right side
    314.12x = 145,296.87
  5. Step 5: Solve for x
    x = 145,296.87/314.12
  6. Step 6: Final answer
    x = 462.55

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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.