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Finding the Fourth Proportional to 539.76, 742.56 and 423.12

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Solution

The fourth proportional to 539.76, 742.56 and 423.12 is: 582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.76 : 742.56 = 423.12 : x
  2. Step 2: Convert to fraction form
    539.76/742.56 = 423.12/x
  3. Step 3: Cross multiply
    539.76x = 742.56 × 423.12
  4. Step 4: Simplify right side
    539.76x = 314,191.99
  5. Step 5: Solve for x
    x = 314,191.99/539.76
  6. Step 6: Final answer
    x = 582.10

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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.