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Finding the Fourth Proportional to 489.57, 675.57 and 268.50

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Solution

The fourth proportional to 489.57, 675.57 and 268.50 is: 370.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.57 : 675.57 = 268.50 : x
  2. Step 2: Convert to fraction form
    489.57/675.57 = 268.50/x
  3. Step 3: Cross multiply
    489.57x = 675.57 × 268.50
  4. Step 4: Simplify right side
    489.57x = 181,394.09
  5. Step 5: Solve for x
    x = 181,394.09/489.57
  6. Step 6: Final answer
    x = 370.52

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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.