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Finding the Fourth Proportional to 435.73, 601.14 and 304.81

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Solution

The fourth proportional to 435.73, 601.14 and 304.81 is: 420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.73 : 601.14 = 304.81 : x
  2. Step 2: Convert to fraction form
    435.73/601.14 = 304.81/x
  3. Step 3: Cross multiply
    435.73x = 601.14 × 304.81
  4. Step 4: Simplify right side
    435.73x = 183,233.48
  5. Step 5: Solve for x
    x = 183,233.48/435.73
  6. Step 6: Final answer
    x = 420.52

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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.