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Finding the Fourth Proportional to 471.60, 707.82 and 252.40

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Solution

The fourth proportional to 471.60, 707.82 and 252.40 is: 378.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.60 : 707.82 = 252.40 : x
  2. Step 2: Convert to fraction form
    471.60/707.82 = 252.40/x
  3. Step 3: Cross multiply
    471.60x = 707.82 × 252.40
  4. Step 4: Simplify right side
    471.60x = 178,653.77
  5. Step 5: Solve for x
    x = 178,653.77/471.60
  6. Step 6: Final answer
    x = 378.82

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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.