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Finding the Fourth Proportional to 409.32, 613.98 and 120.78

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Solution

The fourth proportional to 409.32, 613.98 and 120.78 is: 181.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.32 : 613.98 = 120.78 : x
  2. Step 2: Convert to fraction form
    409.32/613.98 = 120.78/x
  3. Step 3: Cross multiply
    409.32x = 613.98 × 120.78
  4. Step 4: Simplify right side
    409.32x = 74,156.50
  5. Step 5: Solve for x
    x = 74,156.50/409.32
  6. Step 6: Final answer
    x = 181.17

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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.