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Finding the Fourth Proportional to 435.09, 600.44 and 304.18

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Solution

The fourth proportional to 435.09, 600.44 and 304.18 is: 419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.09 : 600.44 = 304.18 : x
  2. Step 2: Convert to fraction form
    435.09/600.44 = 304.18/x
  3. Step 3: Cross multiply
    435.09x = 600.44 × 304.18
  4. Step 4: Simplify right side
    435.09x = 182,638.82
  5. Step 5: Solve for x
    x = 182,638.82/435.09
  6. Step 6: Final answer
    x = 419.77

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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.