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Finding the Fourth Proportional to 523.12, 722.28 and 348.88

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Solution

The fourth proportional to 523.12, 722.28 and 348.88 is: 481.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.12 : 722.28 = 348.88 : x
  2. Step 2: Convert to fraction form
    523.12/722.28 = 348.88/x
  3. Step 3: Cross multiply
    523.12x = 722.28 × 348.88
  4. Step 4: Simplify right side
    523.12x = 251,989.05
  5. Step 5: Solve for x
    x = 251,989.05/523.12
  6. Step 6: Final answer
    x = 481.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.