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Finding the Fourth Proportional to 539.72, 744.58 and 340.48

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Solution

The fourth proportional to 539.72, 744.58 and 340.48 is: 469.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.72 : 744.58 = 340.48 : x
  2. Step 2: Convert to fraction form
    539.72/744.58 = 340.48/x
  3. Step 3: Cross multiply
    539.72x = 744.58 × 340.48
  4. Step 4: Simplify right side
    539.72x = 253,511.89
  5. Step 5: Solve for x
    x = 253,511.89/539.72
  6. Step 6: Final answer
    x = 469.71

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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.