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Finding the Fourth Proportional to 489.13, 675.00 and 268.07

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Solution

The fourth proportional to 489.13, 675.00 and 268.07 is: 369.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.13 : 675.00 = 268.07 : x
  2. Step 2: Convert to fraction form
    489.13/675.00 = 268.07/x
  3. Step 3: Cross multiply
    489.13x = 675.00 × 268.07
  4. Step 4: Simplify right side
    489.13x = 180,942.53
  5. Step 5: Solve for x
    x = 180,942.53/489.13
  6. Step 6: Final answer
    x = 369.93

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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.