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Finding the Fourth Proportional to 539.34, 744.02 and 352.84

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Solution

The fourth proportional to 539.34, 744.02 and 352.84 is: 486.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.34 : 744.02 = 352.84 : x
  2. Step 2: Convert to fraction form
    539.34/744.02 = 352.84/x
  3. Step 3: Cross multiply
    539.34x = 744.02 × 352.84
  4. Step 4: Simplify right side
    539.34x = 262,519.04
  5. Step 5: Solve for x
    x = 262,519.04/539.34
  6. Step 6: Final answer
    x = 486.74

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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.