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Finding the Fourth Proportional to 524.86, 724.05 and 350.44

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Solution

The fourth proportional to 524.86, 724.05 and 350.44 is: 483.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.86 : 724.05 = 350.44 : x
  2. Step 2: Convert to fraction form
    524.86/724.05 = 350.44/x
  3. Step 3: Cross multiply
    524.86x = 724.05 × 350.44
  4. Step 4: Simplify right side
    524.86x = 253,736.08
  5. Step 5: Solve for x
    x = 253,736.08/524.86
  6. Step 6: Final answer
    x = 483.44

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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.