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Finding the Fourth Proportional to 419.94, 579.20 and 295.63

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Solution

The fourth proportional to 419.94, 579.20 and 295.63 is: 407.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.94 : 579.20 = 295.63 : x
  2. Step 2: Convert to fraction form
    419.94/579.20 = 295.63/x
  3. Step 3: Cross multiply
    419.94x = 579.20 × 295.63
  4. Step 4: Simplify right side
    419.94x = 171,227.42
  5. Step 5: Solve for x
    x = 171,227.42/419.94
  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.