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Finding the Fourth Proportional to 469.06, 703.14 and 180.52

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Solution

The fourth proportional to 469.06, 703.14 and 180.52 is: 270.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.06 : 703.14 = 180.52 : x
  2. Step 2: Convert to fraction form
    469.06/703.14 = 180.52/x
  3. Step 3: Cross multiply
    469.06x = 703.14 × 180.52
  4. Step 4: Simplify right side
    469.06x = 126,930.83
  5. Step 5: Solve for x
    x = 126,930.83/469.06
  6. Step 6: Final answer
    x = 270.61

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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.