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Finding the Fourth Proportional to 313.79, 470.34 and 198.32

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Solution

The fourth proportional to 313.79, 470.34 and 198.32 is: 297.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.79 : 470.34 = 198.32 : x
  2. Step 2: Convert to fraction form
    313.79/470.34 = 198.32/x
  3. Step 3: Cross multiply
    313.79x = 470.34 × 198.32
  4. Step 4: Simplify right side
    313.79x = 93,277.83
  5. Step 5: Solve for x
    x = 93,277.83/313.79
  6. Step 6: Final answer
    x = 297.26

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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.