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Finding the Fourth Proportional to 489.11, 735.02 and 401.63

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Solution

The fourth proportional to 489.11, 735.02 and 401.63 is: 603.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.11 : 735.02 = 401.63 : x
  2. Step 2: Convert to fraction form
    489.11/735.02 = 401.63/x
  3. Step 3: Cross multiply
    489.11x = 735.02 × 401.63
  4. Step 4: Simplify right side
    489.11x = 295,203.41
  5. Step 5: Solve for x
    x = 295,203.41/489.11
  6. Step 6: Final answer
    x = 603.56

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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.