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Finding the Fourth Proportional to 471.59, 707.40 and 252.12

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Solution

The fourth proportional to 471.59, 707.40 and 252.12 is: 378.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.59 : 707.40 = 252.12 : x
  2. Step 2: Convert to fraction form
    471.59/707.40 = 252.12/x
  3. Step 3: Cross multiply
    471.59x = 707.40 × 252.12
  4. Step 4: Simplify right side
    471.59x = 178,349.69
  5. Step 5: Solve for x
    x = 178,349.69/471.59
  6. Step 6: Final answer
    x = 378.19

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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.