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Finding the Fourth Proportional to 482.56, 723.62 and 153.43

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Solution

The fourth proportional to 482.56, 723.62 and 153.43 is: 230.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.56 : 723.62 = 153.43 : x
  2. Step 2: Convert to fraction form
    482.56/723.62 = 153.43/x
  3. Step 3: Cross multiply
    482.56x = 723.62 × 153.43
  4. Step 4: Simplify right side
    482.56x = 111,027.95
  5. Step 5: Solve for x
    x = 111,027.95/482.56
  6. Step 6: Final answer
    x = 230.08

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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.