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Finding the Fourth Proportional to 471.84, 651.39 and 314.69

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Solution

The fourth proportional to 471.84, 651.39 and 314.69 is: 434.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.84 : 651.39 = 314.69 : x
  2. Step 2: Convert to fraction form
    471.84/651.39 = 314.69/x
  3. Step 3: Cross multiply
    471.84x = 651.39 × 314.69
  4. Step 4: Simplify right side
    471.84x = 204,983.25
  5. Step 5: Solve for x
    x = 204,983.25/471.84
  6. Step 6: Final answer
    x = 434.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.