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Finding the Fourth Proportional to 489.72, 734.72 and 165.08

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Solution

The fourth proportional to 489.72, 734.72 and 165.08 is: 247.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.72 : 734.72 = 165.08 : x
  2. Step 2: Convert to fraction form
    489.72/734.72 = 165.08/x
  3. Step 3: Cross multiply
    489.72x = 734.72 × 165.08
  4. Step 4: Simplify right side
    489.72x = 121,287.58
  5. Step 5: Solve for x
    x = 121,287.58/489.72
  6. Step 6: Final answer
    x = 247.67

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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.