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Finding the Fourth Proportional to 524.99, 724.55 and 338.41

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Solution

The fourth proportional to 524.99, 724.55 and 338.41 is: 467.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.99 : 724.55 = 338.41 : x
  2. Step 2: Convert to fraction form
    524.99/724.55 = 338.41/x
  3. Step 3: Cross multiply
    524.99x = 724.55 × 338.41
  4. Step 4: Simplify right side
    524.99x = 245,194.97
  5. Step 5: Solve for x
    x = 245,194.97/524.99
  6. Step 6: Final answer
    x = 467.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.