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Finding the Fourth Proportional to 435.25, 600.45 and 304.30

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Solution

The fourth proportional to 435.25, 600.45 and 304.30 is: 419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.25 : 600.45 = 304.30 : x
  2. Step 2: Convert to fraction form
    435.25/600.45 = 304.30/x
  3. Step 3: Cross multiply
    435.25x = 600.45 × 304.30
  4. Step 4: Simplify right side
    435.25x = 182,716.94
  5. Step 5: Solve for x
    x = 182,716.94/435.25
  6. Step 6: Final answer
    x = 419.80

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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.