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Finding the Fourth Proportional to 412.70, 619.46 and 314.29

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Solution

The fourth proportional to 412.70, 619.46 and 314.29 is: 471.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.70 : 619.46 = 314.29 : x
  2. Step 2: Convert to fraction form
    412.70/619.46 = 314.29/x
  3. Step 3: Cross multiply
    412.70x = 619.46 × 314.29
  4. Step 4: Simplify right side
    412.70x = 194,685.41
  5. Step 5: Solve for x
    x = 194,685.41/412.70
  6. Step 6: Final answer
    x = 471.74

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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.