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Finding the Fourth Proportional to 471.77, 707.24 and 183.14

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Solution

The fourth proportional to 471.77, 707.24 and 183.14 is: 274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.77 : 707.24 = 183.14 : x
  2. Step 2: Convert to fraction form
    471.77/707.24 = 183.14/x
  3. Step 3: Cross multiply
    471.77x = 707.24 × 183.14
  4. Step 4: Simplify right side
    471.77x = 129,520.86
  5. Step 5: Solve for x
    x = 129,520.86/471.77
  6. Step 6: Final answer
    x = 274.55

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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.