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Finding the Fourth Proportional to 523.64, 722.60 and 348.96

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Solution

The fourth proportional to 523.64, 722.60 and 348.96 is: 481.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.64 : 722.60 = 348.96 : x
  2. Step 2: Convert to fraction form
    523.64/722.60 = 348.96/x
  3. Step 3: Cross multiply
    523.64x = 722.60 × 348.96
  4. Step 4: Simplify right side
    523.64x = 252,158.50
  5. Step 5: Solve for x
    x = 252,158.50/523.64
  6. Step 6: Final answer
    x = 481.55

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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.