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Finding the Fourth Proportional to 525.44, 724.76 and 359.36

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Solution

The fourth proportional to 525.44, 724.76 and 359.36 is: 495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.44 : 724.76 = 359.36 : x
  2. Step 2: Convert to fraction form
    525.44/724.76 = 359.36/x
  3. Step 3: Cross multiply
    525.44x = 724.76 × 359.36
  4. Step 4: Simplify right side
    525.44x = 260,449.75
  5. Step 5: Solve for x
    x = 260,449.75/525.44
  6. Step 6: Final answer
    x = 495.68

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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.