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Finding the Fourth Proportional to 435.14, 600.31 and 277.75

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Solution

The fourth proportional to 435.14, 600.31 and 277.75 is: 383.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.14 : 600.31 = 277.75 : x
  2. Step 2: Convert to fraction form
    435.14/600.31 = 277.75/x
  3. Step 3: Cross multiply
    435.14x = 600.31 × 277.75
  4. Step 4: Simplify right side
    435.14x = 166,736.10
  5. Step 5: Solve for x
    x = 166,736.10/435.14
  6. Step 6: Final answer
    x = 383.18

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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.