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Finding the Fourth Proportional to 539.92, 744.72 and 423.28

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Solution

The fourth proportional to 539.92, 744.72 and 423.28 is: 583.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.92 : 744.72 = 423.28 : x
  2. Step 2: Convert to fraction form
    539.92/744.72 = 423.28/x
  3. Step 3: Cross multiply
    539.92x = 744.72 × 423.28
  4. Step 4: Simplify right side
    539.92x = 315,225.08
  5. Step 5: Solve for x
    x = 315,225.08/539.92
  6. Step 6: Final answer
    x = 583.84

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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.