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Finding the Fourth Proportional to 471.60, 707.34 and 129.60

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Solution

The fourth proportional to 471.60, 707.34 and 129.60 is: 194.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.60 : 707.34 = 129.60 : x
  2. Step 2: Convert to fraction form
    471.60/707.34 = 129.60/x
  3. Step 3: Cross multiply
    471.60x = 707.34 × 129.60
  4. Step 4: Simplify right side
    471.60x = 91,671.26
  5. Step 5: Solve for x
    x = 91,671.26/471.60
  6. Step 6: Final answer
    x = 194.38

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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.