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Finding the Fourth Proportional to 440.97, 608.65 and 275.08

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Solution

The fourth proportional to 440.97, 608.65 and 275.08 is: 379.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.97 : 608.65 = 275.08 : x
  2. Step 2: Convert to fraction form
    440.97/608.65 = 275.08/x
  3. Step 3: Cross multiply
    440.97x = 608.65 × 275.08
  4. Step 4: Simplify right side
    440.97x = 167,425.92
  5. Step 5: Solve for x
    x = 167,425.92/440.97
  6. Step 6: Final answer
    x = 379.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.