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Finding the Fourth Proportional to 419.44, 578.62 and 264.08

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Solution

The fourth proportional to 419.44, 578.62 and 264.08 is: 364.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.44 : 578.62 = 264.08 : x
  2. Step 2: Convert to fraction form
    419.44/578.62 = 264.08/x
  3. Step 3: Cross multiply
    419.44x = 578.62 × 264.08
  4. Step 4: Simplify right side
    419.44x = 152,801.97
  5. Step 5: Solve for x
    x = 152,801.97/419.44
  6. Step 6: Final answer
    x = 364.30

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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.