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Finding the Fourth Proportional to 524.77, 724.41 and 359.83

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Solution

The fourth proportional to 524.77, 724.41 and 359.83 is: 496.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.77 : 724.41 = 359.83 : x
  2. Step 2: Convert to fraction form
    524.77/724.41 = 359.83/x
  3. Step 3: Cross multiply
    524.77x = 724.41 × 359.83
  4. Step 4: Simplify right side
    524.77x = 260,664.45
  5. Step 5: Solve for x
    x = 260,664.45/524.77
  6. Step 6: Final answer
    x = 496.72

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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.