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Finding the Fourth Proportional to 419.93, 579.63 and 301.85

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Solution

The fourth proportional to 419.93, 579.63 and 301.85 is: 416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.93 : 579.63 = 301.85 : x
  2. Step 2: Convert to fraction form
    419.93/579.63 = 301.85/x
  3. Step 3: Cross multiply
    419.93x = 579.63 × 301.85
  4. Step 4: Simplify right side
    419.93x = 174,962.50
  5. Step 5: Solve for x
    x = 174,962.50/419.93
  6. Step 6: Final answer
    x = 416.64

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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.