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Finding the Fourth Proportional to 524.93, 724.22 and 338.54

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Solution

The fourth proportional to 524.93, 724.22 and 338.54 is: 467.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.93 : 724.22 = 338.54 : x
  2. Step 2: Convert to fraction form
    524.93/724.22 = 338.54/x
  3. Step 3: Cross multiply
    524.93x = 724.22 × 338.54
  4. Step 4: Simplify right side
    524.93x = 245,172.13
  5. Step 5: Solve for x
    x = 245,172.13/524.93
  6. Step 6: Final answer
    x = 467.06

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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.