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Finding the Fourth Proportional to 409.76, 614.57 and 121.13

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Solution

The fourth proportional to 409.76, 614.57 and 121.13 is: 181.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.76 : 614.57 = 121.13 : x
  2. Step 2: Convert to fraction form
    409.76/614.57 = 121.13/x
  3. Step 3: Cross multiply
    409.76x = 614.57 × 121.13
  4. Step 4: Simplify right side
    409.76x = 74,439.19
  5. Step 5: Solve for x
    x = 74,439.19/409.76
  6. Step 6: Final answer
    x = 181.67

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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.