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Finding the Fourth Proportional to 420.44, 579.89 and 296.13

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Solution

The fourth proportional to 420.44, 579.89 and 296.13 is: 408.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.44 : 579.89 = 296.13 : x
  2. Step 2: Convert to fraction form
    420.44/579.89 = 296.13/x
  3. Step 3: Cross multiply
    420.44x = 579.89 × 296.13
  4. Step 4: Simplify right side
    420.44x = 171,721.35
  5. Step 5: Solve for x
    x = 171,721.35/420.44
  6. Step 6: Final answer
    x = 408.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.