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Finding the Fourth Proportional to 420.28, 579.64 and 264.92

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Solution

The fourth proportional to 420.28, 579.64 and 264.92 is: 365.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.28 : 579.64 = 264.92 : x
  2. Step 2: Convert to fraction form
    420.28/579.64 = 264.92/x
  3. Step 3: Cross multiply
    420.28x = 579.64 × 264.92
  4. Step 4: Simplify right side
    420.28x = 153,558.23
  5. Step 5: Solve for x
    x = 153,558.23/420.28
  6. Step 6: Final answer
    x = 365.37

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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.