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Finding the Fourth Proportional to 435.14, 600.28 and 295.27

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Solution

The fourth proportional to 435.14, 600.28 and 295.27 is: 407.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.14 : 600.28 = 295.27 : x
  2. Step 2: Convert to fraction form
    435.14/600.28 = 295.27/x
  3. Step 3: Cross multiply
    435.14x = 600.28 × 295.27
  4. Step 4: Simplify right side
    435.14x = 177,242.44
  5. Step 5: Solve for x
    x = 177,242.44/435.14
  6. Step 6: Final answer
    x = 407.32

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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.