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Finding the Fourth Proportional to 348.70, 523.05 and 313.90

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Solution

The fourth proportional to 348.70, 523.05 and 313.90 is: 470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.70 : 523.05 = 313.90 : x
  2. Step 2: Convert to fraction form
    348.70/523.05 = 313.90/x
  3. Step 3: Cross multiply
    348.70x = 523.05 × 313.90
  4. Step 4: Simplify right side
    348.70x = 164,185.40
  5. Step 5: Solve for x
    x = 164,185.40/348.70
  6. Step 6: Final answer
    x = 470.85

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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.