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Finding the Fourth Proportional to 440.98, 661.50 and 209.83

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Solution

The fourth proportional to 440.98, 661.50 and 209.83 is: 314.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.98 : 661.50 = 209.83 : x
  2. Step 2: Convert to fraction form
    440.98/661.50 = 209.83/x
  3. Step 3: Cross multiply
    440.98x = 661.50 × 209.83
  4. Step 4: Simplify right side
    440.98x = 138,802.55
  5. Step 5: Solve for x
    x = 138,802.55/440.98
  6. Step 6: Final answer
    x = 314.76

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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.