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Finding the Fourth Proportional to 419.76, 579.36 and 264.48

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Solution

The fourth proportional to 419.76, 579.36 and 264.48 is: 365.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.76 : 579.36 = 264.48 : x
  2. Step 2: Convert to fraction form
    419.76/579.36 = 264.48/x
  3. Step 3: Cross multiply
    419.76x = 579.36 × 264.48
  4. Step 4: Simplify right side
    419.76x = 153,229.13
  5. Step 5: Solve for x
    x = 153,229.13/419.76
  6. Step 6: Final answer
    x = 365.04

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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.