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Finding the Fourth Proportional to 419.92, 579.77 and 392.21

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Solution

The fourth proportional to 419.92, 579.77 and 392.21 is: 541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.92 : 579.77 = 392.21 : x
  2. Step 2: Convert to fraction form
    419.92/579.77 = 392.21/x
  3. Step 3: Cross multiply
    419.92x = 579.77 × 392.21
  4. Step 4: Simplify right side
    419.92x = 227,390.38
  5. Step 5: Solve for x
    x = 227,390.38/419.92
  6. Step 6: Final answer
    x = 541.51

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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.