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Finding the Fourth Proportional to 469.53, 704.16 and 180.90

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Solution

The fourth proportional to 469.53, 704.16 and 180.90 is: 271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.53 : 704.16 = 180.90 : x
  2. Step 2: Convert to fraction form
    469.53/704.16 = 180.90/x
  3. Step 3: Cross multiply
    469.53x = 704.16 × 180.90
  4. Step 4: Simplify right side
    469.53x = 127,382.54
  5. Step 5: Solve for x
    x = 127,382.54/469.53
  6. Step 6: Final answer
    x = 271.30

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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.