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Finding the Fourth Proportional to 348.23, 524.09 and 262.01

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Solution

The fourth proportional to 348.23, 524.09 and 262.01 is: 394.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.23 : 524.09 = 262.01 : x
  2. Step 2: Convert to fraction form
    348.23/524.09 = 262.01/x
  3. Step 3: Cross multiply
    348.23x = 524.09 × 262.01
  4. Step 4: Simplify right side
    348.23x = 137,316.82
  5. Step 5: Solve for x
    x = 137,316.82/348.23
  6. Step 6: Final answer
    x = 394.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.