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Finding the Fourth Proportional to 342.70, 512.85 and 313.90

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Solution

The fourth proportional to 342.70, 512.85 and 313.90 is: 469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.70 : 512.85 = 313.90 : x
  2. Step 2: Convert to fraction form
    342.70/512.85 = 313.90/x
  3. Step 3: Cross multiply
    342.70x = 512.85 × 313.90
  4. Step 4: Simplify right side
    342.70x = 160,983.62
  5. Step 5: Solve for x
    x = 160,983.62/342.70
  6. Step 6: Final answer
    x = 469.75

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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.