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Finding the Fourth Proportional to 489.48, 675.33 and 442.71

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Solution

The fourth proportional to 489.48, 675.33 and 442.71 is: 610.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.48 : 675.33 = 442.71 : x
  2. Step 2: Convert to fraction form
    489.48/675.33 = 442.71/x
  3. Step 3: Cross multiply
    489.48x = 675.33 × 442.71
  4. Step 4: Simplify right side
    489.48x = 298,975.34
  5. Step 5: Solve for x
    x = 298,975.34/489.48
  6. Step 6: Final answer
    x = 610.80

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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.