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Finding the Fourth Proportional to 350.97, 484.56 and 314.06

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Solution

The fourth proportional to 350.97, 484.56 and 314.06 is: 433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.97 : 484.56 = 314.06 : x
  2. Step 2: Convert to fraction form
    350.97/484.56 = 314.06/x
  3. Step 3: Cross multiply
    350.97x = 484.56 × 314.06
  4. Step 4: Simplify right side
    350.97x = 152,182.13
  5. Step 5: Solve for x
    x = 152,182.13/350.97
  6. Step 6: Final answer
    x = 433.61

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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.