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Finding the Fourth Proportional to 348.12, 523.86 and 314.04

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Solution

The fourth proportional to 348.12, 523.86 and 314.04 is: 472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.12 : 523.86 = 314.04 : x
  2. Step 2: Convert to fraction form
    348.12/523.86 = 314.04/x
  3. Step 3: Cross multiply
    348.12x = 523.86 × 314.04
  4. Step 4: Simplify right side
    348.12x = 164,512.99
  5. Step 5: Solve for x
    x = 164,512.99/348.12
  6. Step 6: Final answer
    x = 472.58

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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.