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Finding the Fourth Proportional to 471.69, 651.15 and 314.60

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Solution

The fourth proportional to 471.69, 651.15 and 314.60 is: 434.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.69 : 651.15 = 314.60 : x
  2. Step 2: Convert to fraction form
    471.69/651.15 = 314.60/x
  3. Step 3: Cross multiply
    471.69x = 651.15 × 314.60
  4. Step 4: Simplify right side
    471.69x = 204,851.79
  5. Step 5: Solve for x
    x = 204,851.79/471.69
  6. Step 6: Final answer
    x = 434.29

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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.