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Finding the Fourth Proportional to 489.16, 733.74 and 232.84

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Solution

The fourth proportional to 489.16, 733.74 and 232.84 is: 349.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.16 : 733.74 = 232.84 : x
  2. Step 2: Convert to fraction form
    489.16/733.74 = 232.84/x
  3. Step 3: Cross multiply
    489.16x = 733.74 × 232.84
  4. Step 4: Simplify right side
    489.16x = 170,844.02
  5. Step 5: Solve for x
    x = 170,844.02/489.16
  6. Step 6: Final answer
    x = 349.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.