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Finding the Fourth Proportional to 419.72, 579.32 and 295.41

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Solution

The fourth proportional to 419.72, 579.32 and 295.41 is: 407.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.72 : 579.32 = 295.41 : x
  2. Step 2: Convert to fraction form
    419.72/579.32 = 295.41/x
  3. Step 3: Cross multiply
    419.72x = 579.32 × 295.41
  4. Step 4: Simplify right side
    419.72x = 171,138.72
  5. Step 5: Solve for x
    x = 171,138.72/419.72
  6. Step 6: Final answer
    x = 407.75

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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.