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Finding the Fourth Proportional to 489.56, 675.58 and 265.49

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Solution

The fourth proportional to 489.56, 675.58 and 265.49 is: 366.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.56 : 675.58 = 265.49 : x
  2. Step 2: Convert to fraction form
    489.56/675.58 = 265.49/x
  3. Step 3: Cross multiply
    489.56x = 675.58 × 265.49
  4. Step 4: Simplify right side
    489.56x = 179,355.69
  5. Step 5: Solve for x
    x = 179,355.69/489.56
  6. Step 6: Final answer
    x = 366.36

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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.