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Finding the Fourth Proportional to 469.15, 703.81 and 180.56

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Solution

The fourth proportional to 469.15, 703.81 and 180.56 is: 270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.15 : 703.81 = 180.56 : x
  2. Step 2: Convert to fraction form
    469.15/703.81 = 180.56/x
  3. Step 3: Cross multiply
    469.15x = 703.81 × 180.56
  4. Step 4: Simplify right side
    469.15x = 127,081.92
  5. Step 5: Solve for x
    x = 127,081.92/469.15
  6. Step 6: Final answer
    x = 270.88

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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.