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Finding the Fourth Proportional to 419.61, 579.23 and 408.57

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Solution

The fourth proportional to 419.61, 579.23 and 408.57 is: 563.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.61 : 579.23 = 408.57 : x
  2. Step 2: Convert to fraction form
    419.61/579.23 = 408.57/x
  3. Step 3: Cross multiply
    419.61x = 579.23 × 408.57
  4. Step 4: Simplify right side
    419.61x = 236,653.96
  5. Step 5: Solve for x
    x = 236,653.96/419.61
  6. Step 6: Final answer
    x = 563.99

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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.