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Finding the Fourth Proportional to 524.57, 728.76 and 519.82

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Solution

The fourth proportional to 524.57, 728.76 and 519.82 is: 722.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.57 : 728.76 = 519.82 : x
  2. Step 2: Convert to fraction form
    524.57/728.76 = 519.82/x
  3. Step 3: Cross multiply
    524.57x = 728.76 × 519.82
  4. Step 4: Simplify right side
    524.57x = 378,824.02
  5. Step 5: Solve for x
    x = 378,824.02/524.57
  6. Step 6: Final answer
    x = 722.16

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.