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Finding the Fourth Proportional to 539.50, 744.54 and 315.44

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Solution

The fourth proportional to 539.50, 744.54 and 315.44 is: 435.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.50 : 744.54 = 315.44 : x
  2. Step 2: Convert to fraction form
    539.50/744.54 = 315.44/x
  3. Step 3: Cross multiply
    539.50x = 744.54 × 315.44
  4. Step 4: Simplify right side
    539.50x = 234,857.70
  5. Step 5: Solve for x
    x = 234,857.70/539.50
  6. Step 6: Final answer
    x = 435.32

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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.