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Finding the Fourth Proportional to 524.94, 724.62 and 338.41

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Solution

The fourth proportional to 524.94, 724.62 and 338.41 is: 467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.94 : 724.62 = 338.41 : x
  2. Step 2: Convert to fraction form
    524.94/724.62 = 338.41/x
  3. Step 3: Cross multiply
    524.94x = 724.62 × 338.41
  4. Step 4: Simplify right side
    524.94x = 245,218.65
  5. Step 5: Solve for x
    x = 245,218.65/524.94
  6. Step 6: Final answer
    x = 467.14

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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.