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Finding the Fourth Proportional to 313.13, 469.80 and 209.43

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Solution

The fourth proportional to 313.13, 469.80 and 209.43 is: 314.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.13 : 469.80 = 209.43 : x
  2. Step 2: Convert to fraction form
    313.13/469.80 = 209.43/x
  3. Step 3: Cross multiply
    313.13x = 469.80 × 209.43
  4. Step 4: Simplify right side
    313.13x = 98,390.21
  5. Step 5: Solve for x
    x = 98,390.21/313.13
  6. Step 6: Final answer
    x = 314.22

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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.