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Finding the Fourth Proportional to 489.57, 673.87 and 419.55

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Solution

The fourth proportional to 489.57, 673.87 and 419.55 is: 577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.57 : 673.87 = 419.55 : x
  2. Step 2: Convert to fraction form
    489.57/673.87 = 419.55/x
  3. Step 3: Cross multiply
    489.57x = 673.87 × 419.55
  4. Step 4: Simplify right side
    489.57x = 282,725.06
  5. Step 5: Solve for x
    x = 282,725.06/489.57
  6. Step 6: Final answer
    x = 577.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.