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Finding the Fourth Proportional to 602.73, 903.81 and 420.21

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Solution

The fourth proportional to 602.73, 903.81 and 420.21 is: 630.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.73 : 903.81 = 420.21 : x
  2. Step 2: Convert to fraction form
    602.73/903.81 = 420.21/x
  3. Step 3: Cross multiply
    602.73x = 903.81 × 420.21
  4. Step 4: Simplify right side
    602.73x = 379,790.00
  5. Step 5: Solve for x
    x = 379,790.00/602.73
  6. Step 6: Final answer
    x = 630.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.