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Finding the Fourth Proportional to 420.43, 579.91 and 296.10

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Solution

The fourth proportional to 420.43, 579.91 and 296.10 is: 408.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.43 : 579.91 = 296.10 : x
  2. Step 2: Convert to fraction form
    420.43/579.91 = 296.10/x
  3. Step 3: Cross multiply
    420.43x = 579.91 × 296.10
  4. Step 4: Simplify right side
    420.43x = 171,711.35
  5. Step 5: Solve for x
    x = 171,711.35/420.43
  6. Step 6: Final answer
    x = 408.42

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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.