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Finding the Fourth Proportional to 348.54, 523.05 and 240.12

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Solution

The fourth proportional to 348.54, 523.05 and 240.12 is: 360.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.54 : 523.05 = 240.12 : x
  2. Step 2: Convert to fraction form
    348.54/523.05 = 240.12/x
  3. Step 3: Cross multiply
    348.54x = 523.05 × 240.12
  4. Step 4: Simplify right side
    348.54x = 125,594.77
  5. Step 5: Solve for x
    x = 125,594.77/348.54
  6. Step 6: Final answer
    x = 360.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.