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Finding the Fourth Proportional to 469.60, 704.48 and 181.28

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Solution

The fourth proportional to 469.60, 704.48 and 181.28 is: 271.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.60 : 704.48 = 181.28 : x
  2. Step 2: Convert to fraction form
    469.60/704.48 = 181.28/x
  3. Step 3: Cross multiply
    469.60x = 704.48 × 181.28
  4. Step 4: Simplify right side
    469.60x = 127,708.13
  5. Step 5: Solve for x
    x = 127,708.13/469.60
  6. Step 6: Final answer
    x = 271.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.