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Finding the Fourth Proportional to 419.25, 578.70 and 264

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Solution

The fourth proportional to 419.25, 578.70 and 264 is: 364.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.25 : 578.70 = 264 : x
  2. Step 2: Convert to fraction form
    419.25/578.70 = 264/x
  3. Step 3: Cross multiply
    419.25x = 578.70 × 264
  4. Step 4: Simplify right side
    419.25x = 152,776.80
  5. Step 5: Solve for x
    x = 152,776.80/419.25
  6. Step 6: Final answer
    x = 364.41

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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.