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Finding the Fourth Proportional to 523.93, 722.76 and 347.20

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Solution

The fourth proportional to 523.93, 722.76 and 347.20 is: 478.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.93 : 722.76 = 347.20 : x
  2. Step 2: Convert to fraction form
    523.93/722.76 = 347.20/x
  3. Step 3: Cross multiply
    523.93x = 722.76 × 347.20
  4. Step 4: Simplify right side
    523.93x = 250,942.27
  5. Step 5: Solve for x
    x = 250,942.27/523.93
  6. Step 6: Final answer
    x = 478.96

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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.