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Finding the Fourth Proportional to 315.75, 435.73 and 254.01

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Solution

The fourth proportional to 315.75, 435.73 and 254.01 is: 350.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.75 : 435.73 = 254.01 : x
  2. Step 2: Convert to fraction form
    315.75/435.73 = 254.01/x
  3. Step 3: Cross multiply
    315.75x = 435.73 × 254.01
  4. Step 4: Simplify right side
    315.75x = 110,680.03
  5. Step 5: Solve for x
    x = 110,680.03/315.75
  6. Step 6: Final answer
    x = 350.53

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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.