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Finding the Fourth Proportional to 525.48, 724.73 and 414.78

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Solution

The fourth proportional to 525.48, 724.73 and 414.78 is: 572.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.48 : 724.73 = 414.78 : x
  2. Step 2: Convert to fraction form
    525.48/724.73 = 414.78/x
  3. Step 3: Cross multiply
    525.48x = 724.73 × 414.78
  4. Step 4: Simplify right side
    525.48x = 300,601.44
  5. Step 5: Solve for x
    x = 300,601.44/525.48
  6. Step 6: Final answer
    x = 572.05

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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.