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Finding the Fourth Proportional to 419.88, 579.06 and 354.27

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Solution

The fourth proportional to 419.88, 579.06 and 354.27 is: 488.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.88 : 579.06 = 354.27 : x
  2. Step 2: Convert to fraction form
    419.88/579.06 = 354.27/x
  3. Step 3: Cross multiply
    419.88x = 579.06 × 354.27
  4. Step 4: Simplify right side
    419.88x = 205,143.59
  5. Step 5: Solve for x
    x = 205,143.59/419.88
  6. Step 6: Final answer
    x = 488.58

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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.