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Finding the Fourth Proportional to 471.64, 707.79 and 183.07

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Solution

The fourth proportional to 471.64, 707.79 and 183.07 is: 274.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.64 : 707.79 = 183.07 : x
  2. Step 2: Convert to fraction form
    471.64/707.79 = 183.07/x
  3. Step 3: Cross multiply
    471.64x = 707.79 × 183.07
  4. Step 4: Simplify right side
    471.64x = 129,575.12
  5. Step 5: Solve for x
    x = 129,575.12/471.64
  6. Step 6: Final answer
    x = 274.73

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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.