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Finding the Fourth Proportional to 419.58, 579.06 and 301.59

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Solution

The fourth proportional to 419.58, 579.06 and 301.59 is: 416.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.58 : 579.06 = 301.59 : x
  2. Step 2: Convert to fraction form
    419.58/579.06 = 301.59/x
  3. Step 3: Cross multiply
    419.58x = 579.06 × 301.59
  4. Step 4: Simplify right side
    419.58x = 174,638.71
  5. Step 5: Solve for x
    x = 174,638.71/419.58
  6. Step 6: Final answer
    x = 416.22

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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.