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Finding the Fourth Proportional to 419.72, 579.04 and 264.38

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Solution

The fourth proportional to 419.72, 579.04 and 264.38 is: 364.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.72 : 579.04 = 264.38 : x
  2. Step 2: Convert to fraction form
    419.72/579.04 = 264.38/x
  3. Step 3: Cross multiply
    419.72x = 579.04 × 264.38
  4. Step 4: Simplify right side
    419.72x = 153,083.04
  5. Step 5: Solve for x
    x = 153,083.04/419.72
  6. Step 6: Final answer
    x = 364.73

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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.