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Finding the Fourth Proportional to 489.76, 734.36 and 233.26

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Solution

The fourth proportional to 489.76, 734.36 and 233.26 is: 349.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.76 : 734.36 = 233.26 : x
  2. Step 2: Convert to fraction form
    489.76/734.36 = 233.26/x
  3. Step 3: Cross multiply
    489.76x = 734.36 × 233.26
  4. Step 4: Simplify right side
    489.76x = 171,296.81
  5. Step 5: Solve for x
    x = 171,296.81/489.76
  6. Step 6: Final answer
    x = 349.76

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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.