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Finding the Fourth Proportional to 471.74, 707.12 and 254.86

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Solution

The fourth proportional to 471.74, 707.12 and 254.86 is: 382.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.74 : 707.12 = 254.86 : x
  2. Step 2: Convert to fraction form
    471.74/707.12 = 254.86/x
  3. Step 3: Cross multiply
    471.74x = 707.12 × 254.86
  4. Step 4: Simplify right side
    471.74x = 180,216.60
  5. Step 5: Solve for x
    x = 180,216.60/471.74
  6. Step 6: Final answer
    x = 382.03

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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.