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Finding the Fourth Proportional to 525.72, 724.74 and 376.31

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Solution

The fourth proportional to 525.72, 724.74 and 376.31 is: 518.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.72 : 724.74 = 376.31 : x
  2. Step 2: Convert to fraction form
    525.72/724.74 = 376.31/x
  3. Step 3: Cross multiply
    525.72x = 724.74 × 376.31
  4. Step 4: Simplify right side
    525.72x = 272,724.70
  5. Step 5: Solve for x
    x = 272,724.70/525.72
  6. Step 6: Final answer
    x = 518.76

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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.