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Finding the Fourth Proportional to 471.85, 707.78 and 194.14

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Solution

The fourth proportional to 471.85, 707.78 and 194.14 is: 291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.85 : 707.78 = 194.14 : x
  2. Step 2: Convert to fraction form
    471.85/707.78 = 194.14/x
  3. Step 3: Cross multiply
    471.85x = 707.78 × 194.14
  4. Step 4: Simplify right side
    471.85x = 137,407.24
  5. Step 5: Solve for x
    x = 137,407.24/471.85
  6. Step 6: Final answer
    x = 291.21

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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.