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Finding the Fourth Proportional to 388.18, 580.90 and 296.14

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Solution

The fourth proportional to 388.18, 580.90 and 296.14 is: 443.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.18 : 580.90 = 296.14 : x
  2. Step 2: Convert to fraction form
    388.18/580.90 = 296.14/x
  3. Step 3: Cross multiply
    388.18x = 580.90 × 296.14
  4. Step 4: Simplify right side
    388.18x = 172,028.27
  5. Step 5: Solve for x
    x = 172,028.27/388.18
  6. Step 6: Final answer
    x = 443.17

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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.