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Finding the Fourth Proportional to 409.83, 614.32 and 178.54

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Solution

The fourth proportional to 409.83, 614.32 and 178.54 is: 267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.83 : 614.32 = 178.54 : x
  2. Step 2: Convert to fraction form
    409.83/614.32 = 178.54/x
  3. Step 3: Cross multiply
    409.83x = 614.32 × 178.54
  4. Step 4: Simplify right side
    409.83x = 109,678.71
  5. Step 5: Solve for x
    x = 109,678.71/409.83
  6. Step 6: Final answer
    x = 267.62

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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.