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Finding the Fourth Proportional to 489.05, 730.01 and 427.55

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Solution

The fourth proportional to 489.05, 730.01 and 427.55 is: 638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.05 : 730.01 = 427.55 : x
  2. Step 2: Convert to fraction form
    489.05/730.01 = 427.55/x
  3. Step 3: Cross multiply
    489.05x = 730.01 × 427.55
  4. Step 4: Simplify right side
    489.05x = 312,115.78
  5. Step 5: Solve for x
    x = 312,115.78/489.05
  6. Step 6: Final answer
    x = 638.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.